Which of the following expressions is equivalent to -3(x^(2)-4y^(2)) ? Choose 1 answer: (A) -3x^(2)-12y^(2) (B) -3x^(2)-4y^(2) (C) -3x^(2)+12y^(2) (D) -7x^(2)y^(2)

Distribute the -3: Distribute the -3 to both terms inside the parentheses. -3(x^(2)-4y^(2)) = -3 * x^(2) -3 * (-4y^(2))Multiply by x^(2) and -4y^(2): Multiply -3 by x^(2) and -3 by -4y^(2). -3 * x^(2) = -3x^(2) -3 * (-4y^(2)) = 12y^(2)Combine the results: Combine the results of the distribution. -3x^(2) + 12y^(2)Match with the choices: Match the result with the given choices. The correct choice that matches -3x^(2) + 12y^(2) is (C) -3x^(2)+12y^(2).

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Which of the following expressions is equivalent to
-3(x^(2)-4y^(2)) ?
Choose 1 answer:
(A)
-3x^(2)-12y^(2)
(B)
-3x^(2)-4y^(2)
(C)
-3x^(2)+12y^(2)
(D)
-7x^(2)y^(2)

Which of the following expressions is equivalent to $-3\left(x^{2}-4 y^{2}\right)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-3 x^{2}-12 y^{2}$ $\newline$ (B) $-3 x^{2}-4 y^{2}$ $\newline$ (C) $-3 x^{2}+12 y^{2}$ $\newline$ (D) $-7 x^{2} y^{2}$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

Q. Which of the following expressions is equivalent to

-3\left(x^{2}-4 y^{2}\right)

\newline

Choose

1

answer:

\newline

(A)

-3 x^{2}-12 y^{2}

\newline

(B)

-3 x^{2}-4 y^{2}

\newline

(C)

-3 x^{2}+12 y^{2}

\newline

(D)

-7 x^{2} y^{2}

Distribute the $-3$ : Distribute the $-3$ to both terms inside the parentheses. $\newline$ $-3(x^{2}-4y^{2})$ $\newline$ $= -3 \cdot x^{2} -3 \cdot (-4y^{2})$
Multiply by $x^{2}$ and $-4y^{2}$ : Multiply $-3$ by $x^{2}$ and $-3$ by $-4y^{2}$ .
$-3 \times x^{2} = -3x^{2}$
$-3 \times (-4y^{2}) = 12y^{2}$
Combine the results: Combine the results of the distribution. $-3x^{2} + 12y^{2}$
Match with the choices: Match the result with the given choices. $\newline$ The correct choice that matches $-3x^{2} + 12y^{2}$ is (C) $-3x^{2}+12y^{2}$ .