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

Solution:

Statement is false.

Given, (a + b)² = a² + b²

Here, LHS = (a + b)²

= (a + b)(a + b)

By distributive property, we get

= a² + ab + ab + b²

= a² + 2ab + b²

Here, RHS = a² + b²

LHS ≠ RHS

✦ Try This: State true or false: (a - b)² = a² - b² + 2ab

Given statement is false.

Given, (a - b)² = a² - b² + 2ab

Here, L.H.S = (a - b)²

=(a - b)(a - b)

By distributive property, we get

=a² - ab - ab + b²

=a² + b² - 2ab

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

NCERT Exemplar Class 8 Maths Chapter 7 Problem 59

(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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