For this case we must simplify the following expression:

Simplifying the numerator, dividing all the terms by 4, we have:

We factor by looking for two numbers that when added together give -8 and when multiplied by 12. These are: -6 and -2

So, we have to:

Simplifying the denominator:
We rewrite -17x as -18x + x:

We factor the highest common denominator of each group:

We factor the polynomial by factoring the highest common denominator (x-6):

So, we have to:

Substituting in the original expression we have:

ANswer:

The statements that are true are A, B, and D
Two factors of 64 that add up to 12 are 8 and 4.
8 x 8 is 64 so its a factor of 64
16 x 4 is 64 so its a factor of 64
8 + 4 = 12
Step-by-step explanation:
- 7x + 3x - 18 = 6(x + 3) === Given
- 10x - 18 = 6(x + 3) === Combine Like Terms === 7x + 3
- 10x - 18 = 6x + 18 === Distributive Property === 6(x + 3)
- 10x - 18 - 6x = 18 === Subtraction Property of Equality === -6x both sides
- 4x - 18 = 18 === Combine Like Terms === 10x - 6x
- 4x = 18 + 18 === Addition Property of Equality === +18 both sides
- 4x = 36 === Combine Like terms === 18 + 18
- x = 36 / 4 === Division Property of Equality === /4 both sides
- x = 9 === combine like terms??
That doesn't use the multiplication property but that's all of the rest of them.