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Question

Factorise
16x2+9y2+4z2+24xy+12yz+16zx

A
(4x+3y+2z)(4x+3y+2z)
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B
(x+3y+2z)(4x+3y+2z)
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C
(4x3y+2z)(4x+3y+2z)
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D
(x3y+2z)(4x+3y+2z)
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Solution

The correct option is A (4x+3y+2z)(4x+3y+2z)
16x2+9y2+4z2+24xy+12yz+16zx
=(4x)2+(3y)2+(2z)2+2×4x×3y+2×3y×2z+2×2z×4x
Using, (a+b+c)2=a2+b2+c2+2ab+2bc+2ca
=(4x+3y+2z)2
=(4x+3y+2z)(4x+3y+2z)

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