Question

proof it 4ab=(a+b)²-(a-b) ²​

Answer 1

Answer:

RHS- (a+b)²-4ab = a²+b²+2ab-4ab= a²+b²-2ab. So this equation is verified.

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Answer 2

4ab= (a+b)²- (a-b)²

4ab= (a²+2ab+b²) - (a²-2ab+b²)       {Use the identity (a+b)² and (a-b)²}

4ab= a²+2ab+b²-a²+2ab-b²    {When we open bracket - * -2ab becomes +}  

4ab= a²-a²+2ab+2ab+b²-b²

4ab= 4ab