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

Distribute -y^(2): We need to distribute the term -y^(2) across the terms inside the parentheses (6x-y). This is done by multiplying -y^(2) with each term inside the parentheses separately. Calculation: -y^(2) * 6x + y^(2) * yMultiply with 6x: Multiplying -y^(2) by 6x gives us -6xy^(2). This is a straightforward multiplication of a constant with a variable term. Calculation: -y^(2) * 6x = -6xy^(2)Multiply with -y: Multiplying y^(2) by -y gives us -y^(3). This is a multiplication of a variable term with itself, which results in raising the power by 1. Calculation: y^(2) * -y = -y^(3)Combine results: Combining the results from the previous steps, we get the final expression: -6xy^(2) - y^(3). Calculation: -6xy^(2) + (-y^(3)) = -6xy^(2) - y^(3)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

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

View step-by-step help

Home

Math Problems

Algebra 1

Compare linear and exponential growth

Full solution

-y^{2}(6 x-y)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

-6 x^{3}+x^{2} y

\newline

(B)

-6 x^{2} y+y^{3}

\newline

(C)

-6 x y^{2}+y^{3}

\newline

(D)

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

Distribute $-y^{2}$ : We need to distribute the term $-y^{2}$ across the terms inside the parentheses $(6x-y)$ . This is done by multiplying $-y^{2}$ with each term inside the parentheses separately. $\newline$ Calculation: $-y^{2} \times 6x + y^{2} \times y$
Multiply with $6x$ : Multiplying $-y^{2}$ by $6x$ gives us $-6xy^{2}$ . This is a straightforward multiplication of a constant with a variable term. $\newline$ Calculation: $-y^{2} \times 6x = -6xy^{2}$
Multiply with $-y$ : Multiplying $y^{2}$ by $-y$ gives us $-y^{3}$ . This is a multiplication of a variable term with itself, which results in raising the power by $1$ . $\newline$ Calculation: $y^{2} \times -y = -y^{3}$
Combine results: Combining the results from the previous steps, we get the final expression: $-6xy^{2} - y^{3}$ . $\newline$ Calculation: $-6xy^{2} + (-y^{3}) = -6xy^{2} - y^{3}$