Question

$(a + b) {}^{2}$

Answer 1

Hello!!

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(a+b)^2= a^2+ b^2 + 2ab.

Solution:-.

(a+b)^2= (a+b)(a+b)

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


a(a+b)+ b(a+b)= a^2+ ab + ab+ b^2.

a^2+ ab + ab+ b^2= a^2+ b^2+ 2ab.

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Answer 2

Heya !!!

It is an algebraic identity 

$(a + b)^{2}$ = $a^{2}$ + 2ab + $b^{2}$

Other similar identities are :-

> $(a - b)^{2}$ = $a^{2}$ - 2ab + $b^{2}$

> $a^{2} - b^{2}$ = (a - b)(a + b)

> (x + a)(x + b) = $x^{2}$ + (a + b)x +ab 

Thanks !!!