Question

. Factorise the following using identities.
a) x2 + 12x + 36 b) p2 + 8p + 16
c) 22 - 10z + 25 d) 25s2 + 30s +9
e) 10062 – 60bc + 9c2 f) p4 + 2p2q2 + 94
g) 3622 – 49x2 h) 196p2 – 12192
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Answer 1

Answer:

Step-by-step explanation:

Answer Text

Solution :

(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