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A+B^3 formula proof indentify

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A+B^3 formula proof indentify

Posted by Aman Khan 5 years, 1 month ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 5 years, 1 month ago

(a + b)³ = (a + b)(a + b)(a + b)

Multiply (a + b) and (a + b).

(a + b)³ = (a² + ab + ab + b²)(a + b)

Simplify.

(a + b)³ = (a² + 2ab + b²)(a + b)

(a + b)³ = a³ + a²b + 2a²b + 2ab² + ab² + b³

Combine the like terms.

(a + b)³ = a³ + 3a²b + 3ab² + b³

or

(a + b)³ = a³ + b³ + 3ab(a + b)

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