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(i) (3x+7)284x=(3x7)2

(ii) (4pq+3q)2(4pq3q)2=48pq2

(iii) (ab)(a+b)+(bc)(b+c)+(ca)(c+a)=0 [3 MARKS]

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Solution

Application: 1 Mark each

(i)(3x+7)284xL.H.S

(3x)2+72+2(3x)(7)84x

9x2+49+42x84x

9x2+4942x=L.H.S

R.H.S(3x7)2[(3x)2+(7)22(3x)7]

9x2+4942x=R.H.S

L.H.S=R.H.S


(ii)(4pq+3q)2(4pq3q)2=48 pq2

L.H.S[(4pq+3q)+(4pq3q)][((4pq+3q)(4pq3q))]

[4pq+3q+4pq3q][4pq+3q4pq+3q]

(8pq)(6q)

48pq2

R.H.S


(iii) (ab)(a+b)+(bc)(b+c)+(ca)(c+a)=0

L.H.S[(a)2(b)2]+[(b)2(c)2]+[(c)2a2]

a2b2+b2c2+c2a2

0=R.H.S


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