(iv) 8(p + q)2 – 6(p2 - q2) - 9(p - q)2
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Step-by-step explanation:
i)p
2
+6p+8=p
2
+3×2p+9−9+8
=(p+3)
2
−1=(p+3−1)(p+3+1)
=(p+2)(p+4)
ii)q
2
−10q+21=q
2
−5×2q+25−25+21
=(q−5)
2
−2
2
=(q−5−2)(q−5+2)
=(q−7)(q−3)
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