3x(2x-3) Which of the following is equivalent to the given expression? Choose 1 answer: (A) 5x^(2)-9x (B) 5x^(2)-6x (C) 6x^(2)-9x (D) 6x^(2)-3

Distribute 3x: We need to distribute the 3x across the terms inside the parentheses. Calculation: 3x * 2x = 6x^2 and 3x * (-3) = -9x. So, the expression becomes 6x^2 - 9x.Check answer choices: Now, we check the answer choices to see which one matches our calculated expression. (A) 5x^2 - 9x does not match because the coefficient of x^2 is 5 instead of 6. (B) 5x^2 - 6x does not match because both the coefficient of x^2 and x are incorrect. (C) 6x^2 - 9x matches our calculated expression. (D) 6x^2 - 3 does not match because the coefficient of x is -3 instead of -9.

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3x(2x-3)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
5x^(2)-9x
(B)
5x^(2)-6x
(C)
6x^(2)-9x
(D)
6x^(2)-3

$3 x(2 x-3)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $5 x^{2}-9 x$ $\newline$ (B) $5 x^{2}-6 x$ $\newline$ (C) $6 x^{2}-9 x$ $\newline$ (D) $6 x^{2}-3$

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Full solution

3 x(2 x-3)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

5 x^{2}-9 x

\newline

(B)

5 x^{2}-6 x

\newline

(C)

6 x^{2}-9 x

\newline

(D)

6 x^{2}-3

Distribute $3x$ : We need to distribute the $3x$ across the terms inside the parentheses. $\newline$ Calculation: $3x \times 2x = 6x^2$ and $3x \times (-3) = -9x$ . $\newline$ So, the expression becomes $6x^2 - 9x$ .
Check answer choices: Now, we check the answer choices to see which one matches our calculated expression. $\newline$ (A) $5x^2 - 9x$ does not match because the coefficient of $x^2$ is $5$ instead of $6$ . $\newline$ (B) $5x^2 - 6x$ does not match because both the coefficient of $x^2$ and $x$ are incorrect. $\newline$ (C) $6x^2 - 9x$ matches our calculated expression. $\newline$ (D) $6x^2 - 3$ does not match because the coefficient of $x$ is $x^2$ $0$ instead of $x^2$ $1$ .