Question

Can anyone tell me :

`{a}^(2) + {b}^(2)`
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Answer 1

`\large \boxed{ {a}^(2) + {b}^(2) = {(a + b)}^(2) - 2ab}`

The formula is derived from the (a+b)² which can be expanded as:

`\large \boxed{ {(a + b)}^(2) = {a}^(2) + 2ab + {b}^(2) }`

Now since we only want a²+b² and not 2ab. We can add -2ab after (a+b)² which result in (a+b)²-2ab. This formula is pretty useful it comes to higher maths.

Answer

• a²+b² = (a+b)²-2ab

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