(a + b) (a - b) = a² - b². Is the given statement true or false

Solution:

Statement is true.

Given, (a + b) (a - b) = a² - b²

LHS = (a + b) (a - b)

By distributive property, we get

= a² + ba - ab - b²

= a² - b²          

RHS = a² - b²

LHS = RHS

✦ Try This: Verify the identity (a + b) (a - b) = a² - b², if a = 4 and b = -1

Given standard identity : (a + b) (a - b) = a² - b²

Substituting the given values a = 4 and b = -1

LHS = (a + b) (a - b) = [4 + (-1)] [4 - (-1)] = (4 - 1)(4 + 1) = 3 × 5 = 15

RHS = a² - b² = (4)² - (-1)² = 16 - 1 = 15

LHS = RHS

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

NCERT Exemplar Class 8 Maths Chapter 7 Problem 61

(a + b) (a - b) = a² - b². Is the given statement true or false

Summary:  

Statement (a + b) (a - b) = a² - b² is true

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