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Question

Factorise the expression 9x2+24xy+16y2


A
(3x+2y)2
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B
(3x2y)2
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C
(2x+3y)2
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D
(2x3y)2
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Solution

The correct option is A (3x+2y)2
The given expression is 9x2+24xy+16y2

(3x)2+2(3x)(4y)+(4y)2
= (3x+4y)2
[Using identity (a+b)=a2+b2+2ab]
= (3x+4y)2


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