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Question

Simplify: (xyab+bxay)÷(xa)

A
yb
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B
y+b
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C
x+a
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D
ab
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Solution

The correct option is B y+b
Given: xyab+bxay(xa).
Now, the numerator can be factorized as,
xyab+bxay
=xyay+bxab
=y(xa)+b(xa)
=(xa)(y+b)
Therefore,
xyab+bxay(xa)=(xa)(y+b)(xa)=y+b

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