Factorise: x(a − 3) + y(3 − a)

Question:

Factorise:
x(a − 3) + y(3 − a)

Solution:

We have:

$x(a-3)+y(3-a)=x(a-3)-y(a-3)$

$=(a-3)(x-y)$

$\therefore x(a-3)+y(3-a)=(a-3)(x-y)$

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