Simplify: (x - 2y)3 - 6xy(x - 2y).
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. x3 - 8y3 - 12x2y + 24xy2.
(x - 2y)3 - 6xy(x - 2y)
⇒ (x - 2y)[(x - 2y)2 - 6xy]
⇒ (x - 2y)[x2 + 4y2 - 4xy - 6xy]
⇒ (x - 2y)[x2 + 4y2 - 10xy]
⇒ x3 + 4xy2 - 10x2y - 2x2y - 8y3 + 20xy2
⇒ x3 - 8y3 - 12x2y + 24xy2