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Question
Simplify `("p"^2 - 10"p" + 21)/("p" - 7) xx ("p"^2 + "p" - 12)/("p" - 3)^2`
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Solution
P2 – 10p + 21 = (p – 7) (p – 3)
p2 + p – 12 = (p + 4) (p – 3)
`("p"^2 - 10"p" + 21)/(("p" - 7)) xx ("p"^2 + "p" - 12)/("p" - 3)^2 = (("p" - 7)("p" - 3))/(("p" - 7)) xx (("p" + 4)("p" - 3))/("p" - 3)^2`
= `("p" - 3) xx (("p" + 4))/(("p" - 3))`
= p + 4
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