(a - b)² = a² - b². Is the given statement true or false

Solution:

Given statement is false.

Given, (a - b)² = a² - b²

Here, LHS = (a - b)²

= (a - b) (a - b)

By distributive property, we get

= a² - 2ab + b²

Here, RHS = a² - b²

LHS ≠ RHS

✦ Try This: State true or false: (x - a)(x - b) = x² + (a - b) x + ab

Given statement is false,

 Given, (x - a)(x - b) = x² + (a - b) x + ab

L.H.S   = (x - a)(x - b)

By distributive property, we get

= x( x - b) - a( x - b)

= x²  - bx - ax + ab

=x²  -(a +b) x + ab

Here, R.H.S =  x² + (a - b) x + ab

LHS ≠ RHS

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

NCERT Exemplar Class 8 Maths Chapter 7 Problem 60

(a - b)² = a² - b². Is the given statement true or false

Summary:

Statement (a - b)² = a² - b² is false

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