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Simplify p(p - q) - q(q - p).
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1 vote
Simplify p(p - q) - q(q - p).

User Mnistic
by
7.5k points

2 Answers

2 votes
((p^2)-pq) - ((q^2)-pq)
(p^2) - (q^2) - 2pq
User Mizuki Nakeshu
by
7.2k points
7 votes
p(p-q) - q(q-p)

a(b+c) = a(b) + a(c) so...

p(p) + p(-q) - q(q) - q(-p)

p² -pq - q² + qp

a*b = b*a so...

-pq + qp = 0 so...

The answer is...

p² - q²
User Mal Ross
by
7.4k points
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