Question

factorise the following. give a step by step explanation​

Answer 1

STEP

1

:

Equation at the end of step 1

(((27 • (a3)) - 64) - (22•33a2)) + 144a

STEP

2

:

Equation at the end of step

2

:

((33a3 - 64) - (22•33a2)) + 144a

STEP

3

:

Checking for a perfect cube

3.1 27a3-108a2+144a-64 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 27a3-108a2+144a-64

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 144a-64

Group 2: -108a2+27a3

Pull out from each group separately :

Group 1: (9a-4) • (16)

Group 2: (a-4) • (27a2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

answer:-. (3a-4)³

Answer 2

Answer:

THE ANSWER IS (3a-4)².

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