Question

Factor −14 out of −12x−54y.

Answer 1

we are given

$-12x-54y$

Since, we have to factor out -14

So, we will make both terms multiple of -14

so, we will multiply top and bottom of each terms by -14

$-12x-54y=\frac{-14}{-14}\times -12x-\frac{-14}{-14}\times 54y$

we can also write as

$-12x-54y=-14\times \frac{-12x}{-14}-(-14)\times \frac{54y}{-14}$

now, we can factor out -14

$-12x-54y=-14\times (\frac{-12x}{-14}-\frac{54y}{-14})$

now, we can simplify it

$-12x-54y=-14\times (\frac{6x}{7}+\frac{27y}{7})$..............Answer