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

Answer:

Step-by-step 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

Answer:

,

Step-by-step explanation:

$\frac{-3}{4}*(-8a) + (\frac{-3}{4})* (-12) = (-3)*(-2a) + (-3) * 3\\ = 6a + 9$

Here, we simplified  the expression.

$\frac{-3}{4}*(-8a) + (\frac{-3}{4})(-12) = (\frac{-3}{4})(-8a - 12)$

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