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This article on NCERT solutions for class 8 Maths Chapter 8 Algebraic Expressions and Identities offers clear and step-by-step solutions for the exercise problems in the NCERT Books for class 8 Maths. Students who are in need of Algebraic Expressions and Identities class 8 solutions will find this article very useful. It covers all the important Class 8 Maths Chapter 8 question answers. These Algebraic Expressions and Identities class 8 ncert solutions are made by the Subject Matter Experts according to the latest CBSE syllabus, ensuring that students can grasp the basic concepts effectively. NCERT solutions for class 8 maths and NCERT solutions for other subjects and classes can be downloaded from the NCERT Solutions.
(a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 - 2ab + b2
(a + b)(a - b) = a2 - b2
(x + a)(x + b) = x2 + (a + b)x + ab
(x + a)(x - b) = x2 + (a - b)x - ab
(x - a)(x + b) = x2 + (b - a)x - ab
(x - a)(x - b) = x2 - (a + b)x + ab
(a + b)3 = a3 + b3 + 3ab(a + b)
(a - b)3 = a3 - b3 - 3ab(a - b)
NCERT Class 8 Solution Exercise: 8.1
Page number: 94, Total questions: 2
Question: 1(i) Add the following.
Answer:
ab-bc+bc-ca+ca-ab=0.
Question: 1(ii) Add the following.
Answer:
Question: 1(iii) Add the following
Answer:
Question: 1(iv) Add the following.
Answer:
Question: 2(a) Subtract
Answer:
12a-9ab+5b-3-(4a-7ab+3b+12)
=(12-4)a +(-9+7)ab+(5-3)b +(-3-12)
=8a-2ab+2b-15
Question: 2(b) Subtract
Answer:
Question: 2(c) Subtract
Answer:
Class 8 maths chapter 8 question answer - exercise: 8.2
Page number: 97-98, Total questions: 5
Question: 1(i) Find the product of the following pairs of monomials.
Answer:
Question: 1(ii) Find the product of the following pairs of monomials.
Answer:
Question: 1(iii) Find the product of the following pairs of monomials
Answer:
Question: 1(iv) Find the product of the following pairs of monomials.
Answer:
Question: 1(v) Find the product of the following pairs of monomials.
Answer:
Question: 2(A) Find the areas of rectangles with the following pairs of monomials as their lengths and breadths, respectively.
Answer:
The question can be solved as follows
Question: 2(B) Find the areas of rectangles with the following pairs of monomials as their lengths and breadth, respectively.
Answer:
The area is calculated as follows
Question: 2(C) Find the areas of rectangles with the following pairs of monomials as their lengths and breadths, respectively.
Answer:
The following is the solution
Question: 2(D) Find the areas of rectangles with the following pairs of monomials as their lengths and breadths, respectively.
Answer:
The area of a rectangle is
Question: 2(E) Find the areas of rectangles with the following pairs of monomials as their lengths and breadths, respectively.
Answer:
The area is calculated as follows
Question: 3. Complete the table of products.
First monomial Second monomial | ||||||
... | ... | ... | ... | ... | ||
... | ... | ... | ... | ... | ||
... | ... | ... | ... | ... | ... | |
... | ... | ... | ... | ... | ... | |
... | ... | ... | ... | ... | ... | |
... | ... | ... | ... | ... | ... |
Answer:
First monomial Second monomial | ||||||
Question: 4(i) Obtain the volume of rectangular boxes with the following length, breadth and height, respectively.
Answer:
Question: 4(ii) Obtain the volume of rectangular boxes with the following length, breadth and height, respectively.
Answer:
The volume of rectangular boxes with the following length, breadth and height is
Question: 4(iii) Obtain the volume of rectangular boxes with the following length, breadth and height, respectively.
Answer:
The volume of rectangular boxes with the following length, breadth and height is
Question: 4(iv) Obtain the volume of rectangular boxes with the following length, breadth, and height, respectively.
Answer:
The volume of rectangular boxes with the following length, breadth and height is
Question: 5(i) Obtain the product of
Answer:
The product
Question: 5(ii) Obtain the product of
Answer:
The product
Question: 5(iii) Obtain the product of
Answer:
The product
Question: 5(iv) Obtain the product of
Answer:
The product
Question: 5(v) Obtain the product of
Answer:
The product
Class 8 maths chapter 8 NCERT solutions - Topic 8.8.1: Multiplying a Monomial by a Binomial
Question: (i) Find the product
Answer:
Using distributive law,
Question: (ii) Find the product
Answer:
Using distributive law,
We have :
NCERT Solutions for Class 8 Maths Chapter 8 Algebraic Expressions and Identities - Topic 8.8.2 Multiplying A Monomial By A Trinomial
Question: 1 Find the product:
Answer:
By using distributive law,
Class 8 maths chapter 8 question answer - exercise: 8.3
Page number: 100, Total questions: 5
Question: 1(i) Carry out the multiplication of the expressions in each of the following pairs.
Answer:
Multiplication of the given expression gives :
By distributive law,
Question: 1(ii) Carry out the multiplication of the expressions in each of the following pairs.
Answer:
We have ab, (a-b).
Using distributive law, we get,
Question: 1(iii) Carry out the multiplication of the expressions in each of the following pairs.
Answer:
Using distributive law, we can obtain the multiplication of the given expression:
Question: 1(iv) Carry out the multiplication of the expressions in each of the following pairs.
Answer:
We will obtain the multiplication of the given expression by using the distributive law :
Question: 1(v) Carry out the multiplication of the expressions in each of the following pairs.
Answer:
Using distributive law :
Question: 2 Complete the table
First expression | Second expression | Product | |
(i) | ... | ||
(ii) | ... | ||
(iii) | ... | ||
(iv) | ... | ||
(v) | ... |
Answer:
We will use the distributive law to find the product in each case.
First expression | Second expression | Product | |
(i) | |||
(ii) | |||
(iii) | |||
(iv) | |||
(v) |
Question: 3(i) Find the product.
Answer:
Opening brackets :
or
Question: 3(ii) Find the product.
Answer:
We have,
Question: 3(iii) Find the product.
Answer:
We have
Question: 3(iv) Find the product.
Answer:
We have
or
Question: 4(a) Simplify
(i)
Answer:
(a) We have
Put x = 3,
We get :
Question:4(a) Simplify
(ii)
Answer:
We have
Put
So we get,
Question: 4(b) Simplify
(i)
Answer:
We have :
Put a = 0 :
Question: 4(b) Simplify
(ii)
Answer:
We have
Put a = 1 ,
we get :
Question:4(b) Simplify
(iii)
Answer:
We have
or
Put a = (-1)
Question: 5(a) Add:
Answer:
(a) First, we will solve each bracket individually.
Addind all we get :
Question:5(b) Add:
Answer:
Firstly, open the brackets:
and
Adding both, we get :
or
Question: 5(c) Subtract:
Answer:
At first we will solve each bracket individually,
and
Subtracting:
or
or
Question: 5(d) Subtract:
Answer:
Solving brackets :
and
Subtracting :
Class 8 maths chapter 8 question answer - exercise: 8.4
Page number: 102, Total questions: 3
Question: 1(i) Multiply the binomials.
Answer:
We have (2x + 5) and (4x - 3)
(2x + 5) X (4x - 3) = (2x)(4x) + (2x)(-3) + (5)(4x) + (5)(-3)
= 8
= 8
Question: 1(ii) Multiply the binomials.
Answer:
We need to multiply (y - 8) and (3y - 4)
(y - 8) X (3y - 4) = (y)(3y) + (y)(-4) + (-8)(3y) + (-8)(-4)
= 3
= 3
Question: 1(iii) Multiply the binomials
Answer:
We need to multiply (2.5l - 0.5m) and (2.5l + 0..5m)
(2.5l - 0.5m) X (2.5l + 0..5m) =
= 6.25
Question: 1(iv) Multiply the binomials.
Answer:
(a + 3b) X (x + 5) = (a)(x) + (a)(5) + (3b)(x) + (3b)(5)
= ax + 5a + 3bx + 15b
Question:1(v) Multiply the binomials.
Answer:
(2pq + 3q 2 ) X (3pq - 2q 2 ) = (2pq)(3pq) + (2pq)(-2q 2 ) + ( 3q 2 )(3pq) + (3q 2 )(-2q 2 )
= 6p 2 q 2 - 4pq 3 + 9pq 3 - 6q 4
= 6p 2 q 2 +5pq 3 - 6q 4
Question: 1(vi) Multiply the binomials.
Answer:
Multiplication can be done as follows
=
=
Question: 2(i) Find the product.
Answer:
(5 - 2x) X (3 + x) = (5)(3) + (5)(x) +(-2x)(3) + (-2x)(x)
= 15 + 5x - 6x - 2
= 15 - x - 2
Question: 2(ii) Find the product.
Answer:
(x + 7y) X (7x - y) = (x)(7x) + (x)(-y) + (7y)(7x) + (7y)(-y)
= 7
= 7
Question: 2(iii) Find the product.
Answer:
(
=
Question: 2(iv) Find the product.
Answer:
Following is the solution
(
Question: 3(i) Simplify.
Answer:
This can be simplified as follows
(
=
=
Question: 3(ii) Simplify
Answer:
This can be simplified as
(
=
=
Question: 3(iii) Simplify
Answer:
Simplifications can be
(t +
=
Question: 3(iv) Simplify
Answer:
(a + b) X ( c -d) + (a - b) X (c + d) + 2(ac + bd )
= (a)(c) + (a)(-d) + (b)(c) + (b)(-d) + (a)(c) + (a)(d) + (-b)(c) + (-b)(d) + 2(ac + bd )
= ac - ad + bc - bd + ac +ad -bc - bd + 2(ac + bd )
= 2(ac - bd ) + 2(ac +bd )
= 2ac - 2bd + 2ac + 2bd
= 4ac
Question: 3(v) Simplify
Answer:
(x + y) X ( 2x + y) + (x + 2y) X (x - y)
= (x)(2x) + (x)(y) + (y)(2x) + (y)(y) + (x)(x) + (x)(-y) + (2y)(x) + (2y)(-y)
= 2
= 3
Question: 3(vi) Simplify.
Answer:
Simplification is done as follows
(x + y) X (
=
=
Question: 3(vii) Simplify.
Answer:
(1.5x - 4y) X (1.5x + 4y + 3) - 4.5x + 12y = (1.5x) X (1.5x + 4y + 3) -4y X (1.5x + 4y + 3) - 4.5x + 12y
= 2.25
= 2.25
Question: 3(viii) Simplify
Answer:
(a + b + c) (a + b - c) = a (a + b - c) + b (a + b - c) + c (a + b - c)
=
=
Students can use the links below to prepare efficiently in other subjects as well as Mathematics.
The following links will give students access to the latest CBSE syllabus and some reference books.
Keep Working Hard and Happy Learning!
Increase or decrease percentage, discounts, profit and loss, simple and compound interest are the important topics of this chapter.
CBSE class 8 maths is damn simple and basic. Most of the chapters are related to the previous classes.
NCERT solutions are helpful for the students if they are not able to NCERT problems on their own. These solutions are provided in a very detailed manner which will give them conceptual clarity.
There are 16 chapters starting from rational number to playing with numbers in the CBSE class 8 maths.
Here you will get the detailed NCERT solutions for class 8 by clicking on the link.
Here you will get the detailed NCERT solutions for class 8 maths by clicking on the link.
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