Expand and simplify m{n+r[r-36(p.q+q)/3]+p}{3q/p}
asked Aug 24, 2016 in Algebra 2 Answers by Joseph

m{n+r[r-36(p.q+q)/3]+p}{3q/p}

Simplify

(3mq(n+r(r-12(p.q+q))+p))/p

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2 Answers

[r-36(p.q+q)/3] simplifies to [r-12q(p+1)] or [r-12pq-12q].

{n+r[r-36(p.q+q)/3]+p} therefore simplifies to {n+r[r-12pq-12q]+p}={n+r^2-12pqr-12qr+p}.

m{ ... } simplifies to mn+mr^2-12mpqr-12mqr+mp.

Finally, multiply by 3q/p:

3mnq/p+3mqr^2/p-36mq^2r-36mq^2r/p+3mq.
answered Aug 24, 2016 by Rod Top Rated User (417,100 points)

m{n+r[r-36(p.q+q)/3]+p}{3q/p}

Simplify

(3mq(n+r(r-12(p.q+q))+p))/p

answered Aug 29, 2016 by John Marsh Level 8 User (30,400 points)

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