Question

prove that a + b whole square equal to a square + 2 a b + b square

Answer 1

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Answer 2

The given $(a+b)^2= a^2+b^2+2ab$ is proven.

Given :

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

To find :

To prove the given identity.

Solution:

$(a+b) ^2=(a+b)(a+b) \\ \\ (a+b) ^2 =(a+b)(a)+(a+b)(b)\\\\ (a+b) ^2=a 2 +ab+ab+b 2\\ \\ (a+b) ^2 =a 2 +2ab+b 2$

Thus, the given identity is proved.

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