Question

carry out division
(xy-ab+bx-ay)/(x-a)

Answer 1

Answer:

bx + xy - ab - ay

= x(b+y) - a(b+y)/(x-a)

=(x - a) (b + y)/(x-a)

=b+y

Answer is b+y

Step-by-step explanation:

Answer 2

Given:

An expression -

$\bf \longmapsto \: \dfrac{(xy - ab + bx - ay)}{(x - a)}$

What To Find:

We have to -

• Carry out the division.

How To Find:

To find, we have to -

• First, we have to factorise the numerator.
• Next, we have to cancel the factors which are there in the numerator and denominator.
• Then, we have to keep doing it until we are done with it.
• Finally, we will get the answer.

Solution:

The expression,

$\sf \longmapsto \: \dfrac{(xy - ab + bx - ay)}{(x - a)}$

Rearrange the terms,

$\sf \longmapsto \: \dfrac{(xy + bx) - (ay - ab)}{(x - a)}$

Take out the common factor in (xy + bx) i.e x,

$\sf \longmapsto \: \dfrac{x(y + b) - (ay - ab)}{(x - a)}$

Take out the common factor in (ay + ab) i.e a,

$\sf \longmapsto \: \dfrac{x(y + b) -a (y + b)}{(x - a)}$

Take (y + b) as common and take x and a as one term,

$\sf \longmapsto \: \dfrac{(y + b) (x-a )}{(x - a)}$

Cancel (x - a) from the numerator and denominator,

$\sf \longmapsto \: (y + b)$

Final Answer:

∴ Thus, the answer is (y + b) after carrying out the division.