Question

Factor −14 out of −12x−54y.

Answer 1

Factoring −14 out of −12x−54y involves finding the greatest common factor and dividing each term by −14, resulting in −14(x + 3y).

Step-by-step explanation:

To factor −14 out of −12x−54y, we seek to take −14 as a common factor from each term. Here are the steps:

1. Identify the greatest common factor (GCF) of the coefficients. In this case, both −12 and −54 are divisible by −14.
2. Divide each term by −14. For −12x, we get (−12 / −14)x = x, and for −54y, we get (−54 / −14)y = 3y.
3. Write the original expression as a product of the GCF and the simplified terms. This gives us −14(x + 3y).

So, factoring −14 out of −12x−54y gives us −14(x + 3y).

Answer 2

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=(-14)/(-14)* -12x-(-14)/(-14)* 54y`

we can also write as

`-12x-54y=-14* (-12x)/(-14)-(-14)* (54y)/(-14)`

now, we can factor out -14

`-12x-54y=-14* ((-12x)/(-14)-(54y)/(-14))`

now, we can simplify it

`-12x-54y=-14* ((6x)/(7)+(27y)/(7))`..............Answer