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What is the simplified form of this expression?

(4x - 4) - 8x

A. -8x
B. 12x - 4
C. -4x - 4
D. -4x + 4

Sagot :

GinnyAnswer
To simplify the expression [tex]\((4x - 4) - 8x\)[/tex], let's go through it step-by-step.

1. Distribute the negative sign: When we have a subtraction, we'll distribute the minus sign across the terms within the parentheses following it.

[tex]\[ (4x - 4) - 8x \implies 4x - 4 - 8x \][/tex]

2. Combine the like terms: Combine the terms that contain [tex]\(x\)[/tex] and the constant terms separately.

[tex]\[ 4x - 8x - 4 \][/tex]

3. Simplify the terms involving [tex]\(x\)[/tex]: Subtract [tex]\(8x\)[/tex] from [tex]\(4x\)[/tex]:

[tex]\[ 4x - 8x = -4x \][/tex]

4. Bring down the constant term: Now, we have:

[tex]\[ -4x - 4 \][/tex]

The expression [tex]\((4x - 4) - 8x\)[/tex] simplifies to [tex]\(-4x - 4\)[/tex].

Therefore, the correct answer is:
C. [tex]\(-4x - 4\)[/tex]
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