How does (a-b)2 become (a+b)2-4ab?
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Answered by
0
(a-b)²
= (a-b)(a-b)
= a² -ab - ab + b²
so
( a-b)² = a² - 2ab + b²
= a² + b² - 2 ab + 2 ab - 2 ab [ add 2 ab and subtract 2 ab]
= a² + b² + 2ab - 4ab
We know that ( a+b)² = a² + b² + 2ab
= (a+b)² - 4 ab
Answered by
13
Hence proved
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