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Question

Solve: (7+p)(8+p)

A
p2+15p+56
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B
p2+15p
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C
p2+15p+15
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D
p2+56p+56
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Solution

The correct option is A p2+15p+56
(7+p)(8+p)=(p+7)(p+8)Using identity: (x+a)(x+b)=x2+(a+b)x+ab(p+7)(p+8)=p2+(7+8)p+(7×8)(p+7)(p+8)=p2+15p+56

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(x + a)(x +b)= x^2 + x(a+ b) + ab
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