3d(d-7)-2d(d+5) Which of the following is equivalent to the given expression? Choose 1 answer: (A) -12 d (B) d^(2)-17 (c) d(d-11) (D) d(d-31)

Distribute first term: Distribute the first term 3d across the parentheses (d-7). 3d(d-7) = 3d^2 - 21dDistribute second term: Distribute the second term -2d across the parentheses (d+5). -2d(d+5) = -2d^2 - 10dCombine like terms: Combine like terms from the results of Step 1 and Step 2. (3d^2 - 21d) - (2d^2 + 10d) = 3d^2 - 2d^2 - 21d - 10dPerform subtraction of coefficients: Perform the subtraction of the coefficients for d^2 and d. 3d^2 - 2d^2 = d^2 -21d - 10d = -31dWrite final expression: Write the final expression by combining the results from Step 4. d^2 - 31d

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3d(d-7)-2d(d+5)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
-12 d
(B)
d^(2)-17
(c)
d(d-11)
(D)
d(d-31)

$3 d(d-7)-2 d(d+5)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $-12 d$ $\newline$ (B) $d^{2}-17$ $\newline$ (C) $d(d-11)$ $\newline$ (D) $d(d-31)$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

3 d(d-7)-2 d(d+5)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

-12 d

\newline

(B)

d^{2}-17

\newline

(C)

d(d-11)

\newline

(D)

d(d-31)

Distribute first term: Distribute the first term $3d$ across the parentheses $(d-7)$ . $\newline$ $3d(d-7) = 3d^2 - 21d$
Distribute second term: Distribute the second term $-2d$ across the parentheses $(d+5)$ . $\newline$ $-2d(d+5) = -2d^2 - 10d$
Combine like terms: Combine like terms from the results of Step $1$ and Step $2$ . $\newline$ $(3d^2 - 21d) - (2d^2 + 10d) = 3d^2 - 2d^2 - 21d - 10d$
Perform subtraction of coefficients: Perform the subtraction of the coefficients for $d^2$ and $d$ .
$3d^2 - 2d^2 = d^2$
$-21d - 10d = -31d$
Write final expression: Write the final expression by combining the results from Step $4$ . $d^2 - 31d$