Factorise the following expressions. r? + 8x + 16
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2X
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Answer:
(i)a2+8a+16
a2+2(4a)+(4)2
=(a+4)2
(ii) p2-10p+25
p2-5p-5p+25
=p(p-5)-5(p-5)
=(p-5)2
(iii)25m2+30m+9
=(5m)2+2(5m)3+(3)2
=(5m+3)2
(iv) 49y2+84yz+36z2
=(7y)2+2(6)(7)yz+(6z)2
=(7y+6z)2
(v) 4x2-8x+4
(2x)2-2(2)(2)x+(2)2
=(2x+2)2
(vi) 121b2-88bc+16c2
(11b)2-2(11)(4)bc+(4c)2
=(11b-4c)2
(vii) (l+m)2-4lm
=l2+m2+2lm-4lm
=(l)2+(m)2-2lm
=(l-m)2
(viii) a4+2a2b2+b4
(a2)2+2(a2)(b2)+(b2)2
(a2+b2)2
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hope it helps you.. :)
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