Math, asked by sonandchowdary, 6 months ago

evaluate (a+b)³-(a-b)³​

Answers

Answered by AkanshiSharma
3

Answer:

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Answered by EuphoricBunny
8

❄️ Explanation:-

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  \large\boxed{ \blue{  \tt \: Evaluate ~~ (a+b)³~–~(a \: – \: b)³}} \\  \\  \sf (a+b)³~–~(a \: – \: b)³ \\  \\  \implies \sf [a³+b³+3a b~(a+b)]~-~[a³~-~b³~3ab(a~-~b)] \\  \\ \implies \sf \: a³+b³+3a  {}^{2} b  + 3ab {}^{2}  - a {}^{3}  + b {}^{3}  + 3a {}^{2} b - 3ab {}^{2}  \\  \\  \implies \sf2b {}^{2}  + 6a {}^{2} b \\  \\  \tt \: or \\  \\ \sf 2b(b {}^{2}  + 3a {}^{2} )

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❄️ Answer:-

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2b³ + 6a²b or 2b (b² + 3a²)

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