Simplify -x y-a b-b x-a y -x-a

The correct option is B y + bGiven, the expression is xy ab + bx ay/(x a). Now, the numerator can be factorized as, xy ab + bx ay =xy ay + bx ab =y ...

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Byju's Answer

Standard VIII

Mathematics

Division of an Expression by a Expression

Simplify :x y...

Question

$S i m p l i f y : (x y - a b + b x - a y) \div (x - a)$

y - b

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y + b

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x + a

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a - b

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Solution

The correct option is B $y + b$
Given, the expression is
$\frac{x y - a b + b x - a y}{(x - a)} .$
Now, the numerator can be factorized as,
$x y - a b + b x - a y$
$= x y - a y + b x - a b$
$= y (x - a) + b (x - a)$
$= (x - a) (y + b)$
Therefore,
$\frac{x y - a b + b x - a y}{(x - a)} = \frac{(x - a) (y + b)}{(x - a)} = y + b$

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Similar questions

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Simplify: (xy−ab+bx−ay)÷(x−a)

The correct option is B y+bGiven, the expression is xy−ab+bx−ay(x−a). Now, the numerator can be factorized as, xy−ab+bx−ay =xy−ay+bx−ab =y(x−a)+b(x−a) =(x−a)(y+b) Therefore, xy−ab+bx−ay(x−a)=(x−a)(y+b)(x−a)=y+b

$S i m p l i f y : (x y - a b + b x - a y) \div (x - a)$