Factorise the expressions and divide them as directed. (5p² - 25p +20) (p + 4) by 2p² - 32
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Answer:
(5p
2
−25p+20)÷5(p−4)
⇒5p
2
−25p+20=5(p
2
−5p+4)
=5[p
2
−4p−p+4]
=5[p(p−1)−4(p−1)]
=5[(p−1)(p−4)]
∴ (5p
2
−25p+20)÷(p−1)=
(p−1)
5(p−1)(p−4)
=5(p−4).
∴(5p
2
−25p+20)÷(p−1)=5(p−4).
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