Question

Factorise 3(3x-y)-(y-3x)

Answer 1

Answer:

4(3x-y)

Step-by-step explanation:

Given:

$\displaystyle \large{3(3x-y)-(y-3x)}$

To factor this kind of expression, first, find the common factor.

$\displaystyle \large{3(3x-y)-(-3x+y)}\\\displaystyle \large{3(3x-y)+(3x-y)}$

Notice that in the expression, we have both same (3x-y). Therefore, (3x-y) is our factor.

Let u = 3x-y

$\displaystyle \large{3u+u}\\\displaystyle \large{4u}$

Change u back to 3x-y:

$\displaystyle \large{4(3x-y)}$

Therefore, the factored expression is 4(3x-y).