Simplify the given expression.
4(-3p^3q^3 + 2p^2q^2- pq^2 + 4) – 14(-p^3q^3– 2p^2q^2– pq^2 +1)

please fast ​

1 thought on “Simplify the given expression.<br />4(-3p^3q^3 + 2p^2q^2- pq^2 + 4) – 14(-p^3q^3– 2p^2q^2– pq^2 +1)<br /><br />please fast ​”

1. Answer:

   STEP

   1

   :

   Equation at the end of step 1

   (4•((((0-((3•(p3))•(q3)))+((2•(p2))•(q2)))-(p•(q2)))+4))-(14•((((0-((p3)•(q3)))-(2p2•q2))-pq2)+1))

   STEP

   2

   :

   STEP

   3

   :

   Pulling out like terms

   3.1 Pull out like factors :

   -p3q3 – 2p2q2 – pq2 + 1 =

   -1 • (p3q3 + 2p2q2 + pq2 – 1)

   Checking for a perfect cube :

   3.2 p3q3 + 2p2q2 + pq2 – 1 is not a perfect cube

   Equation at the end of step

   3

   :

   (4•((((0-((3•(p3))•(q3)))+((2•(p2))•(q2)))-(p•(q2)))+4))–14•(p3q3+2p2q2+pq2-1)

   STEP

   4

   :

   Equation at the end of step

   4

   :

   (4•((((0-((3•(p3))•(q3)))+(2p2•q2))-pq2)+4))–14•(p3q3+2p2q2+pq2-1)

   STEP

   5

   :

   Equation at the end of step

   5

   :

   (4•((((0-(3p3•q3))+2p2q2)-pq2)+4))–14•(p3q3+2p2q2+pq2-1)

   STEP

   6

   :

   Checking for a perfect cube

   6.1 -3p3q3+2p2q2-pq2+4 is not a perfect cube

   Equation at the end of step

   6

   :

   4•(-3p3q3+2p2q2-pq2+4)–14•(p3q3+2p2q2+pq2-1)

   STEP

   7

   :

   STEP

   8

   :

   Pulling out like terms

   8.1 Pull out like factors :

   2p3q3 + 36p2q2 + 10pq2 + 2 =

   2 • (p3q3 + 18p2q2 + 5pq2 + 1)

   Checking for a perfect cube :

   8.2 p3q3 + 18p2q2 + 5pq2 + 1 is not a perfect cube

   Final result :

   2 • (p3q3 + 18p2q2 + 5pq2 + 1)

   Reply