Question

Prove LHS = RHS

(a+b)² = a²+b²+2ab

(a-b)² = a²+b²-2ab
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Answer 1

Hello dear

we can write (a+b)² as (a+b)(a+b)
so now do simple multiplication you will get

=> a²+ ab + ab + b² = a²+b²+2ab
= RHS.

similarly you can prove other than one .

Answer 2

Hi

my dear

here is ur answer

1] given

( a + b )² = a² + b² + 2ab

LHS

( a + b )²

= ( a + b ) ( a + b )

= a ( a+ b ) + b ( a + b )

= a² + ab + ab + b²

= a² + 2ab + b²

= a² + b² + 2ab

RHS

.°. LHS = RHS

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2] ( a - b )² = a² + b² - 2ab

LHS

( a - b )²

= ( a - b ) ( a - b )

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

= a² - ab - ab + b²

= a² - 2ab + b²

= a² + b² - 2ab

RHS

.°. LHS = RHS

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