Question

How do you know that (-3/4) (-8a) + (-3/4) (-12) is equivalent to both -3/4(-8a - 12) and 6a + 9?

Answer 1

Explanation:

We know these outcomes by applying Order of Operations rules.

(-3/4) (-8a) + (-3/4) (-12) after performing the two indicated multiplications is

6a + 9.

The original (-3/4) (-8a) + (-3/4) (-12) can be factored as follows:

(-3/4) (-8a) + (-3/4) (-8a - 12) = (-3/4)(-8a - 12)

Answer 2

,

Explanation:

`(-3)/(4)*(-8a) + ((-3)/(4))* (-12) = (-3)*(-2a) + (-3) * 3\\ = 6a + 9`

Here, we simplified the expression.

`(-3)/(4)*(-8a) + ((-3)/(4))(-12) = ((-3)/(4))(-8a - 12)`

Here, (-3/4), the common factor for two terms is taken outside.