Question

factorise ax+bx-ay-by

Answer 1

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$\underline{SOLUTION}$ ➡

$\: \: \:ax + bx - ay - by \\ \\ = (ax - ay) +( bx - by) \\ \\ = a(x - y) + b(x - y) \\ \\ = (x - y)(a + b)$

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Answer 2

The factorized form of ax+bx-ay-by is (x-y)(a+b).

Given,

An expression ax+bx-ay-by.

To Find,

The factorized form of this expression.

Solution,

The given expression ax+bx-ay-by

Now, rearranging the terms of the expression

ax-ay+bx-by

Now, taking a and b common from the expression

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

Now, taking (x-y) common from the expression

(x-y)(a+b)

So, after factorizing, the expression becomes (x-y)(a+b).

Hence, the factorized form of ax+bx-ay-by is (x-y)(a+b).

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