Combine like terms. -y^(3)+5y^(2)+3y^(2)-x-2x-4y^(2)+6y^(3) Answer:

Combine Cubic Terms: Combine the terms that have the same variable raised to the same power. Start with the cubic terms of y, which are -y^(3) and +6y^(3). Calculation: -y^(3) + 6y^(3) = 5y^(3)Combine Quadratic Terms: Next, combine the quadratic terms of y, which are 5y^(2), 3y^(2), and -4y^(2). Calculation: 5y^(2) + 3y^(2) - 4y^(2) = 4y^(2)Combine Linear Terms: Now, combine the linear terms of x, which are -x and -2x. Calculation: -x - 2x = -3xCombine Final Expression: Combine the results from the previous steps to get the final expression. Calculation: 5y^(3) + 4y^(2) - 3x

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Combine like terms.

-y^(3)+5y^(2)+3y^(2)-x-2x-4y^(2)+6y^(3)
Answer:

Combine like terms. $\newline$ $-y^{3}+5 y^{2}+3 y^{2}-x-2 x-4 y^{2}+6 y^{3}$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 2

Multiply and divide rational expressions

Full solution

Q. Combine like terms.

\newline

-y^{3}+5 y^{2}+3 y^{2}-x-2 x-4 y^{2}+6 y^{3}

\newline

Answer:

Combine Cubic Terms: Combine the terms that have the same variable raised to the same power. Start with the cubic terms of $y$ , which are $-y^{3}$ and $+6y^{3}$ . $\newline$ Calculation: $-y^{3} + 6y^{3} = 5y^{3}$
Combine Quadratic Terms: Next, combine the quadratic terms of $y$ , which are $5y^{2}$ , $3y^{2}$ , and $-4y^{2}$ . $\newline$ Calculation: $5y^{2} + 3y^{2} - 4y^{2} = 4y^{2}$
Combine Linear Terms: Now, combine the linear terms of $x$ , which are $-x$ and $-2x$ . $\newline$ Calculation: $-x - 2x = -3x$
Combine Final Expression: Combine the results from the previous steps to get the final expression. $\newline$ Calculation: $5y^{3} + 4y^{2} - 3x$