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Question

The expansion (x+a)(x+b) is

A
x2+(ab)x+ab
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B
x2+(a+b)x+ab
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C
x2(a+b)x+ab
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D
x2+(a+b)xab
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Solution

The correct option is B: x2+(a+b)x+ab

(x+a)(x+b)

=x(x+b)+a(x+b)

=x2+bx+ax+b

=x2+(a+b)x+ab

The expansion of (x+a)(x+b) is x2+(a+b)x+ab.


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