Question

27-125a^3-135a+225a^2​

Answer 1

Answer:

 (5a - 3)3

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "a2"   was replaced by   "a^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((27 -  (125 • (a3))) -  135a) +  (32•52a2)

Step  2  :

Equation at the end of step  2  :

 ((27 -  53a3) -  135a) +  (32•52a2)

Step  3  :

Checking for a perfect cube :

3.1    -125a3+225a2-135a+27  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  -125a3+225a2-135a+27

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

Group 1:  -135a+27

Group 2:  225a2-125a3

Pull out from each group separately :

Group 1:   (5a-1) • (-27)

Group 2:   (5a-9) • (-25a2)