Question

P² (2pq + q3) - 2p² (p²q + 5)

Answer 1

HELLO!

Final result :

 -p2 • (2p2q - 2pq - q3 + 10)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "q3"   was replaced by   "q^3".  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((p2)•(2pq+(q3)))-(2p2•(p2q+5))

Step  2  :

Equation at the end of step  2  :

 ((p2)•(2pq+(q3)))-2p2•(p2q+5)

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  2pq + q3  =   q • (2p + q2)  

Equation at the end of step  4  :

 p2q • (2p + q2) -  2p2 • (p2q + 5)

Step  5  :

Step  6  :

Pulling out like terms :

6.1     Pull out like factors :

  -2p4q + 2p3q + p2q3 - 10p2  =  

 -p2 • (2p2q - 2pq - q3 + 10)  

Checking for a perfect cube :

6.2    2p2q - 2pq - q3 + 10  is not a perfect cube  

Final result :

 -p2 • (2p2q - 2pq - q3 + 10)

HOPE THIS HELPS

KEEP SMILING

:)