-5(x^(2)+2y^(2)-5z) Which of the following is equivalent to the given expression? Choose 1 answer: (A) -5x^(2)-10y^(2)+z (B) -5x^(2)-10y^(2)+25 z (C) -5x^(2)+10y^(2)-25 z (D) -5x^(2)+2y^(2)-5z

Distribute -5: We need to distribute the -5 across the terms inside the parentheses. This means multiplying -5 by each term inside the parentheses separately. Calculation: -5 * x^(2) = -5x^(2), -5 * 2y^(2) = -10y^(2), -5 * (-5z) = 25z.Combine results: Combine the results of the distribution to get the equivalent expression. Calculation: -5x^(2) - 10y^(2) + 25z.Match with choices: Match the resulting expression with the given choices. The equivalent expression is -5x^(2) - 10y^(2) + 25z, which corresponds to choice (B).

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-5(x^(2)+2y^(2)-5z)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
-5x^(2)-10y^(2)+z
(B)
-5x^(2)-10y^(2)+25 z
(C)
-5x^(2)+10y^(2)-25 z
(D)
-5x^(2)+2y^(2)-5z

$-5\left(x^{2}+2 y^{2}-5 z\right)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $-5 x^{2}-10 y^{2}+z$ $\newline$ (B) $-5 x^{2}-10 y^{2}+25 z$ $\newline$ (C) $-5 x^{2}+10 y^{2}-25 z$ $\newline$ (D) $-5 x^{2}+2 y^{2}-5 z$

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Full solution

-5\left(x^{2}+2 y^{2}-5 z\right)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

-5 x^{2}-10 y^{2}+z

\newline

(B)

-5 x^{2}-10 y^{2}+25 z

\newline

(C)

-5 x^{2}+10 y^{2}-25 z

\newline

(D)

-5 x^{2}+2 y^{2}-5 z

Distribute $-5$ : We need to distribute the $-5$ across the terms inside the parentheses. This means multiplying $-5$ by each term inside the parentheses separately. $\newline$ Calculation: $-5 \times x^{2} = -5x^{2}$ , $-5 \times 2y^{2} = -10y^{2}$ , $-5 \times (-5z) = 25z$ .
Combine results: Combine the results of the distribution to get the equivalent expression. $\newline$ Calculation: $-5x^{2} - 10y^{2} + 25z$ .
Match with choices: Match the resulting expression with the given choices. $\newline$ The equivalent expression is $-5x^{2} - 10y^{2} + 25z$ , which corresponds to choice $(B)$ .