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Question


Simplify (x+3)(x+5).


Options:
A .   x2+6x+9
B .   x2+8x+15
C .   x2+9x+6
D .   9x2+6x+9
Answer: Option B
:
B

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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