Using identity ( a + b ) 2 = a 2 + 2 a b + b 2 , find the product of ( x 4 + 3 y 4 ) ( x 4 + 3 y 4 ) .

Given, x 4 + 3 y 4 x 4 + 3 y 4 That can be written as x 4 + 3 y 4 2 . Using identity ( a + b ) 2 = a 2 + 2 a b + b 2 = x 4 2 + 2 × x 4 × 3 y 4 + 3 y 4 2 = x 2 16 + 3 x y 8 + 9 y 2 16 So, the product of x 4 + 3 y 4 x 4 + 3 y 4 = x 2 16 + 3 x y 8 + 9 y 2 16 .

Using identity ( a + b ) 2 = a 2 + 2 a b + b 2 , find the product of 4 3 x 2 + 3 4 3 x 2 + 3 .

Given, 4 3 x 2 + 3 4 3 x 2 + 3 That can be written as 4 3 x 2 + 3 2 . Using identity ( a + b ) 2 = a 2 + 2 a b + b 2 = 4 3 x 2 2 + 2 × 4 3 x 2 × 3 × 3 2 = 16 9 x 4 + 8 x 2 + 9 So, the product of 4 3 x 2 + 3 4 3 x 2 + 3 = 16 9 x 4 + 8 x 2 + 9 .

Using identity ( a - b ) 2 = a 2 - 2 a b + b 2 , find the product of ( 2 3 y 2 - 5 ) ( 2 3 y 2 - 5 ) .

Given, ( 2 3 y 2 - 5 ) ( 2 3 y 2 - 5 ) That can be written as ( 2 3 y 2 - 5 ) 2 . Using identity ( a - b ) 2 = a 2 - 2 a b + b 2 , we get: ( 2 3 y 2 ) 2 - 2 × ( 2 3 y 2 ) × ( 5 ) + ( 5 ) 2 = 4 9 y 4 - 20 3 y 2 + 25 So, the product of ( 2 3 y 2 - 5 ) ( 2 3 y 2 - 5 ) = 4 9 y 4 - 20 3 y 2 + 25 .

E M B I B E

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4

Subject Experts Solutions for Chapter: Algebraic Expressions and Identities, Exercise 4: Worksheet 4

Author:Subject Experts

Subject Experts Mathematics Solutions for Exercise - Subject Experts Solutions for Chapter: Algebraic Expressions and Identities, Exercise 4: Worksheet 4

Attempt the practice questions on Chapter 9: Algebraic Expressions and Identities, Exercise 4: Worksheet 4 with hints and solutions to strengthen your understanding. NCERT Practice Workbook Mathematics solutions are prepared by Experienced Embibe Experts.

Questions from Subject Experts Solutions for Chapter: Algebraic Expressions and Identities, Exercise 4: Worksheet 4 with Hints & Solutions

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 2

Simplifying $(3 a + 7) (3 a + 7)$ , we get, $9 a^{2} + 42 a + k$ . Find $k$ .

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 2

Using identity $(a + b)^{2} = a^{2} + 2 a b + b^{2}$ , find the product of $(\frac{x}{4} + \frac{3 y}{4}) (\frac{x}{4} + \frac{3 y}{4})$ .

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 2

Using identity $(a + b)^{2} = a^{2} + 2 a b + b^{2}$ , find the product of $(\frac{4}{3} x^{2} + 3) (\frac{4}{3} x^{2} + 3)$ .

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 3

Using identity $(a - b)^{2} = a^{2} - 2 a b + b^{2}$ , find the product of $(\frac{2}{3} y^{2} - 5) (\frac{2}{3} y^{2} - 5)$ .

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 5

If the product of $(4 x + 6) (4 x + 3)$ is ${Ax}^{2} + Bx + C$ , then the value of $A + B + C$ is

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 5

Using identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ , the product of $(x y - 4) (x y - 8)$ is $x^{2} y^{2} - k x y + 32$ . Hence, find the value of $k$ .

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 9 - Algebraic Expressions and Identities>Worksheet 4>Q 5

If using the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ , the product of $(2 y^{2} + 9) (2 y^{2} + 5)$ is $4 y^{4} + k y^{2} + 45$ then find the value of $k$ .