Simplify:p^2(2pq+q^3)-2q^2(p^2q+5)

1.	Simplify:p^2(2pq+q^3)-2q^2(p^2q+5)
Answer» 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)

Answer»

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

Equation at the end of step 1

((p2)•(2pq+(q3)))-(2q2•(p2q+5))

STEP

Equation at the end of step 2

((p2)•(2pq+(q3)))-2q2•(p2q+5)

STEP

PULLING out like terms :

4.1 Pull out like factors :

2pq + q3 = q • (2p + q2)

Equation at the end of step

p2q • (2p + q2) - 2q2 • (p2q + 5)

STEP

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)

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