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Question

Simplify (x+3)(x+5).


A

x2+6x+9

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B

x2+8x+15

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C

x2+9x+6

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D

9x2+6x+9

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Solution

The correct option is B

x2+8x+15


To simplify: (x+3)(x+5)

Using the identity [(x+a)(x+b)2=x2+(a+b)x+ab]
we get,

(x+3)(x+5)=x2+(3+5)x+3×5=x2+8x+15


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