Verify the identity a+b whole cube
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the formula (a+b)³ can be written as
(a+b)² x (a+b) .By further simplifying,we get,
(a+b)³ = (a+b)² x (a+b)
=(a² + b² + 2ab) x (a+b)
(by expanding)
=a³ + b³ + 2a²b +2ab² + a²b + ab²
(by multiplying)
=a³+ b³+3a²b+3ab²
(by adding)
=a³+b³+3ab(a+b)
(by taking out 3ab as the
common value)
(a+b)² x (a+b) .By further simplifying,we get,
(a+b)³ = (a+b)² x (a+b)
=(a² + b² + 2ab) x (a+b)
(by expanding)
=a³ + b³ + 2a²b +2ab² + a²b + ab²
(by multiplying)
=a³+ b³+3a²b+3ab²
(by adding)
=a³+b³+3ab(a+b)
(by taking out 3ab as the
common value)
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