How do you factor completely $ax – ay + x^2 – xy$ ?

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Answer 1 · 2016-04-29T15:53:10

$" "(x-y)(a+x)$

These are not always easy to spot!

Group as: $" "(ax-ay)+(x^2-xy)$

Factoring out common values from each bracket

$" "a(x-y)+x(x-y)$

Again factor out but this time factor out $(x-y)$

$" "(x-y)(a+x)$

How do you factor completely ax – ay + x^2 – xyax – ay + x^2 – xy?