Question

Prove that
(a+b)² = (a-b)²+4ab

Answer 1

Answer:

Step-by-step explanation:

Hi friend, Here is the required answer:-

LHS-. (a-b)²= a²+b²-2ab

RHS- (a+b)²-4ab = a²+b²+2ab-4ab= a²+b²-2ab.

Since LHS = RHS

So this equation is verified.

I hope you understood..

Please mark as brainliest answer!!!

Answer 2

Given - Algebraic form - (a+b)²  and (a-b)²+4ab

Find - L.H.S is equal to R.H.S

Solution - To prove L.H.S is equal to R.H.S, we need to expand the algebraic form present on both sides

Firstly expanding, L.H.S - (a+b)²  

The expansion will be - a² + b² + 2ab

Now expanding R.H.S - (a-b)²  

The expansion will be - a² + b² - 2ab

Now equating the expanded form -

a² + b² + 2ab = a² + b² - 2ab + 4ab

a² + b² + 2ab = a² + b² + 2ab

Hence, Left Hand Side is equal to Right Hand side.