Q5)Factorise the following expressions:
(i) p^2+6p+8
(ii) q^2-10q+21
(iii) p^2+6p-16
Solution 5:
(i) p^2+2p+4p\ +8 (on splitting the mid-term)
p(p+2)+4(p+2)
(p+4)(p+2)
(ii) q^2-3q-7q+21
q\left(q-3\right)-7\left(q-3\right)
\left(q-7\right)\left(q-3\right)
(iii) p^2+8p-2p-16
p(p+8) -2(p+8)
(p-2)(p+8)
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