Question

evaluate (2x+y)^3-(2x-y)^3

Answer 1

Hi friend
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Your answer
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Evaluation
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(2x + y)³ - (2x - y)³

Using formula : - a³ - b³ = (a - b)(a² + ab + b²)

= {(2x + y) - (2x - y)} [ (2x + y)² + (2x + y )(2x - y) + (2x - y)²]

= (2x + y - 2x + y ) [(2x)² + 2.(2x).(y) +(y)² + (2x)² - (y)² + (2x)² - 2.(2x).(y) + (y)²]

= y ( 4x² + 4xy + y² + 4x² - y² + 4x² - 4xy + y²)

= y (12x² + y)²

HOPE IT HELPS