ValkyrieRidn
Answered

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Use the distributive property to simplify the equation below.

[tex]\[
-4(-x + 3) = [?]
\][/tex]

[tex]\[
\boxed{}
\][/tex]

Sagot :

GinnyAnsweridn
Sure! Let's simplify the expression using the distributive property step-by-step.

We start with the given expression:
[tex]$ -4(-x + 3) $[/tex]

The distributive property tells us that we need to multiply each term inside the parentheses by the factor outside, which in this case is [tex]\(-4\)[/tex]. Let's distribute [tex]\(-4\)[/tex] to each term inside the parentheses:

1. Multiply [tex]\(-4\)[/tex] by [tex]\(-x\)[/tex]:
[tex]$ -4 \cdot (-x) = 4x $[/tex]

2. Multiply [tex]\(-4\)[/tex] by [tex]\(3\)[/tex]:
[tex]$ -4 \cdot 3 = -12 $[/tex]

Now, we combine these results to get the simplified expression:
[tex]$ -4(-x + 3) = 4x - 12 $[/tex]

Thus, using the distributive property, the simplified form of the expression [tex]\(-4(-x + 3)\)[/tex] is:
[tex]$ 4x - 12 $[/tex]
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