Question

$a {a}^{2} {a}^{3} {a}^{4} ....$
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Answer 1

Answer:

a-a2-a3-a4

Final result :

-a • (a3 + a2 + a - 1)

Step by step solution :

Step 1 :

Step 2 :

Pulling out like terms :

2.1 Pull out like factors :

-a4 - a3 - a2 + a =

-a • (a3 + a2 + a - 1)

Checking for a perfect cube :

2.2 a3 + a2 + a - 1 is not a perfect cube

Trying to factor by pulling out :

2.3 Factoring: a3 + a2 + a - 1

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

Group 1: a - 1

Group 2: a3 + a2

Pull out from each group separately :

Group 1: (a - 1) • (1)

Group 2: (a + 1) • (a2)