solve p^2q-9pq^2+30q^3 divided by p-5q

long division with 2 variables
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1 Answer

Factorise: q(p2-9pq+30q2)

Algebraic long division:

          p  -4q            

p-5q ) p2-9pq+30q2 

          p2-5pq

             -4pq+30q2 

             -4pq+20q2 

                       10q2 remainder

q(p2-9pq+30q2)/(p-5q)=q(p-4q) remainder 10q2.

Let's check this out: q(p-4q)(p-5q)=q(p2-9pq+20q2)+10q2=qp2-9pq2+30q3.

by Top Rated User (1.2m points)

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