How do you simplify the expression $3(4(3x - 6) - 2(2x + 1))$ ?

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Answer 1 · 2016-07-29T13:52:35

Use the distributive property to solve the problems in the parentheses.

The distributive property states that $a(b+c)=a*b+a*c$ . Let's solve for the 2 problems in the parentheses first:

$4(3x-6)=4*3x+4*-6=12x-24$

$-2(2x+1)=-2*2x+ -2*1=-4x-2$

We now have $3(12x-24-4x-2)$ .

Next, let's combine like terms:

$12x-4x=8x$

$-24-2=-26$

We now have $3(8x-26)$ .

To get our answer, let's use the distributive property one more time:

$3(8x-22)=3*8x+3*-26=24x-78$

$24x-78$ is our answer.

How do you simplify the expression 3(4(3x - 6) - 2(2x + 1))3(4(3x - 6) - 2(2x + 1))?