Question

-4/40c+12/30 factor each expression completely

Answer 1

`(4)/(10)(-(1)/(4) c+1)`

Explanation:

To factor the expression
`(-4)/(40)c+(12)/(30)` we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into the values. We start to find it by factoring each term's coefficient:

`(2*2)/(2*2*2*5)`

`(2*2*3)/(2*3*5)`

We notice both have 2*2 in the numerator and 2*5 in the denominator. This is our GCF.

`(2*2)/(2*5)=(4)/(10)`

We now write the expression 4/10(____+_____). We find the inside of the parenthesis by dividing the coefficients by the GCF. This is also the remaining factors which are not part of the GCF.

`(1)/(2*2)=(1)/(4)`

`(3)/(3)=1`

So the answer is
`(4)/(10)(-(1)/(4) c+1)`