Question

$Simplify:(xy-ab+bx-ay)÷(x-a)$

• A. $y-b$
• B. $y+b$
• C. $x+a$
• D. $a-b$

Answer 1

The correct option is B $y+b$

Given: $\frac{xy-ab+bx-ay}{(x-a)}.$
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,
$\frac{xy-ab+bx-ay}{(x-a)}=\frac{(x-a)(y+b)}{(x-a)}=y+b$