Question

Factorize the following expression:-
8p^{3} + 36p^{2}q + 54pq^{2} + 27q^{3}

Answer 1

8p3-27p3+54pq2-36p2q 

Final result :

-p • (19p2 + 36pq - 54q2)

Step by step solution :

Step  1  :

Equation at the end of step  1  :

(((8•(p3))-(27•(p3)))+(54p•(q2)))-((22•32p2)•q)

Step  2  :

Equation at the end of step  2  :

(((8•(p3))-(27•(p3)))+(2•33pq2))-(22•32p2q)

Step  3  :

Equation at the end of step  3  :

(((8 • (p3)) - 33p3) + (2•33pq2)) - (22•32p2q)

Step  4  :

Equation at the end of step  4  :

((23p3 - 33p3) + (2•33pq2)) - (22•32p2q)

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   -19p3 - 36p2q + 54pq2  =   -p • (19p2 + 36pq - 54q2)