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8-4(-x+5)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
4x-12
(B)
-4x-12
(C)
4x+13
(D)
4x+5

$8-4(-x+5)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $4 x-12$ $\newline$ (B) $-4 x-12$ $\newline$ (C) $4 x+13$ $\newline$ (D) $4 x+5$

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Write a polynomial from its roots

Full solution

Q.

8-4(-x+5)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

4 x-12

\newline

(B)

-4 x-12

\newline

(C)

4 x+13

\newline

(D)

4 x+5

Distribute $-4$ : First, distribute the $-4$ inside the parentheses to both $-x$ and $+5$ . This means multiplying $-4$ by $-x$ and $-4$ by $+5$ . $\newline$ Calculation: $-4 \times -x = 4x$ and $-4 \times 5 = -20$ .
Combine with $8$ : Next, combine the result of the distribution with the $8$ that is outside the parentheses. $\newline$ Calculation: $8 + 4x - 20$ .
Simplify expression: Now, simplify the expression by combining like terms, which are the constant terms $8$ and $-20$ . $\newline$ Calculation: $4x + (8 - 20) = 4x - 12$ .

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