Question

what is formula for a²+b² and a²-b²

Answer 1

Answer:

$1) Formula \: for \: a^{2}+b^{2}\\=(a+b)^{2}-2ab\\\:Or \: \\=(a-b)^{2}+2ab$

$2) Formula \: for \:a^{2}-b^{2}\\=(a+b)(a-b)$

Step-by-step explanation:

$1) Formula \: for \: a^{2}+b^{2}\\=(a+b)^{2}-2ab\\\:Or \:\\ =(a-b)^{2}+2ab$

$2) Formula \: for \:a^{2}-b^{2}\\=(a+b)(a-b)$

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Answer 2

Answer:

1.

a²+b² =(a+b)² -2ab

2.

a²-b²=(a-b)²+2ab

Step-by-step explanation:

For: a²+b² =(a+b)² -2ab

• $=a^{2} +2ab+b^{2}-2ab\\\\= a^{2}+b^{2}$

The value of the RHS is equals to the LHS.

For:a²-b²=(a-b)²+2ab

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

=a²-b²

The value of the RHS is equals to the LHS.

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