Question

(Simplify,)(p+q)(r-s)+(p-q)(3r+2s)+3(2pr-3qs)​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

10pr+ps+−2qr+−12qs

Step-by-step explanation:

Let's simplify step-by-step.

(p+q)(r−s)+(p−q)(3r+2s)+3(2pr−3qs)

Distribute:

=(p)(r)+(p)(−s)+(q)(r)+(q)(−s)+(p)(3r)+(p)(2s)+(−q)(3r)+(−q)(2s)+(3)(2pr)+(3)(−3qs)

=pr+−ps+qr+−qs+3pr+2ps+−3qr+−2qs+6pr+−9qs

Combine Like Terms:

=pr+−ps+qr+−qs+3pr+2ps+−3qr+−2qs+6pr+−9qs

=(pr+3pr+6pr)+(−ps+2ps)+(qr+−3qr)+(−qs+−2qs+−9qs)

=10pr+ps+−2qr+−12qs

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