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Question
Factorise the following expressions.
(i)p2+6p+8(ii)q2−10q+21(iii)p2+6p−16
(i)p2+6p+8(ii)q2−10q+21(iii)p2+6p−16
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Solution
(i)p2+6p+8=p2+4p+2p+8=p(p+4)+2(p+4)=(p+2)(p+4)
(ii)q2−10q+21=q2−7q−3q+21=q(q−7)−3(q−7)=(q−3)(q−7)
(iii)p2+6p−16=p2+8p−2p−16=p(p+8)−2(p+8)=(p−2)(p+8)
p2+6p+8=p2+4p+2p+8=p(p+4)+2(p+4)=(p+2)(p+4)
(ii)
q2−10q+21=q2−7q−3q+21=q(q−7)−3(q−7)=(q−3)(q−7)
(iii)
p2+6p−16=p2+8p−2p−16=p(p+8)−2(p+8)=(p−2)(p+8)
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