Factorize 8a³-12a²b+6ab²-b³ – InterviewSolution

1.

Factorize 8a³-12a²b+6ab²-b³

Answer»

Step-by-step explanation:

8a³ = 2³a³ =(2A)³

-12a²b = 3*4a²*B= 3*(2a)²*(-b)

6ab² = 3*2a*(-b)²

-b3 = (-b)³

8a³-12a²b+6ab²-b³

= (2a)³ -3*(2a²)b+ 3* (2a)*b²-b³

=(2a-b)³

because (a-b)³=a³-3a²b+3ab²-b³

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