Question

simplify:p^2(2pq+q^3)-2q^2(p^2q+5)​

Answer 1

Answer:

please mark as brilliance

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "p2" was replaced by "p^2". 3 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

((p2)•(2pq+(q3)))-(2q2•(p2q+5))

STEP

2

:

Equation at the end of step 2

((p2)•(2pq+(q3)))-2q2•(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) - 2q2 • (p2q + 5)

STEP

5

:

STEP

6

:

Pulling out like terms

6.1 Pull out like factors :

2p3q - p2q3 - 10q2 = q • (2p3 - p2q2 - 10q)

Trying to factor a multi variable polynomial :

6.2 Factoring 2p3 - p2q2 - 10q

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result :

q • (2p3 - p2q2 - 10q)