Given expression: a 4 - 81 Factorising Difference of Two Squares: Find the square roots of the two square terms. Write the sum of the two square roots as one of the factors. Write the difference of the two square roots as the other factor. = a 2 2 - 9 2 = a 2 + 9 a 2 - 9 ; {Using the identity: a 2 - b 2 = a - b a + b } = a 2 + 9 a 2 - 3 2 = a 2 + 9 a + 3 a - 3 ; {Using the identity: a 2 - b 2 = a - b a + b } Hence, the required factorization is a 2 + 9 a + 3 a - 3 .

Given expression: x 4 - y 4 Factorising Difference of Two Squares: Find the square roots of the two square terms. Write the sum of the two square roots as one of the factors. Write the difference of the two square roots as the other factor. = x 2 2 - y 2 2 = x 2 + y 2 x 2 - y 2 ; Using the identity: a 2 - b 2 = a - b a + b Hence, the required factorization is x 2 + y 2 x + y x - y .

New Mathematics Today Class 7>Chapter 28 - Factorisation of Algebraic Expressions>Exercise

O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Factorisation of Algebraic Expressions, Exercise 4: Exercise

Author:O P Malhotra, S K Gupta & Anubhuti Gangal

O P Malhotra Mathematics Solutions for Exercise - O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Factorisation of Algebraic Expressions, Exercise 4: Exercise

Attempt the practice questions on Chapter 28: Factorisation of Algebraic Expressions, Exercise 4: Exercise with hints and solutions to strengthen your understanding. New Mathematics Today Class 7 solutions are prepared by Experienced Embibe Experts.