Question

Fill in the Blanks

(a+b)² = (a-b)² + 4a×_____?????

PLEASE ANSWER THIS QUESTION ​

Answer 1

$(a+b)^2 = (a-b)^2 + 4a * ------\\\=> a^2 + b^2 + 2ab = a^2 + b^2 - 2ab + 4ab$

Hope it helps u :)

Answer 2

(a+b)² = (a-b)² + 4a×__b___

To find (a+b)² = (a-b)² + 4a×_____

let's find value of (a+b)²−(a−b)² ------------- equation-1

From algebra rule we know

(a+b)² =a²+b²+2ab

& (a-b)² =a²−b²+2ab

Putting these value in equation 1 we get

(a+b)²−(a−b)² = (a²+b²+2ab)−(a²+b²−2ab)

=a²+b²+2ab−a²−b²+2ab

= 4ab

∴(a+b)²−(a−b)²= 4ab

steps to find (a+b)²-

⇒(a+b)² = (a-b)² + 4ab

Hence (a+b)² = (a-b)² + 4a×__b___