Question

When we factorise 8a³- 27b³- 36a²b+54ab² *

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Answer 1

Answer:

(2a-3b) ³

Step-by-step explanation:

8a³- 27b³- 36a²b+54ab²

(2a)³+(-3b)³+3(2a)²(-3b)+3(2a)(-3b)²

as (a+b)³=a³+b³+3a²b+3ab²

so

(2a)³+(-3b)³+3(2a)²(-3b)+3(2a)(-3b)²=(2a-3b) ³

Answer 2

Step-by-step explanation:

(2*2*2*a*a*a-3*3*3*b*b*b)-(3*3*2*2*a*a*b+3*2*3*3*a*b*b)

1(8a^3-27b^3)-3*3*2*a*b(2a+3b)

1(2a-3b)-18ab(2a-3b)

(1-18ab)(2a-3b)