Click and drag like terms onto each other to simplify fully. -3y^(3)+y^(2)-5y^(3)-3+4+2+y^(3)

Identify Like Terms: Identify like terms in the expression. Like terms are terms that have the same variable raised to the same power. -3y^(3), -5y^(3), and y^(3) are like terms because they all have y raised to the third power. y^(2) is by itself because there are no other y squared terms. -3, 4, and 2 are like terms because they are constant terms without variables.Combine Like Terms: Combine the like terms that are the coefficients of y^(3). -3y^(3) - 5y^(3) + y^(3) = -3 - 5 + 1 = -7y^(3)Combine Constant Terms: Combine the constant terms. -3 + 4 + 2 = 3Write Simplified Expression: Write the simplified expression with the combined like terms. The simplified expression is -7y^(3) + y^(2) + 3.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Click and drag like terms onto each other to simplify fully.

-3y^(3)+y^(2)-5y^(3)-3+4+2+y^(3)

Click and drag like terms onto each other to simplify fully. $\newline$ $-3 y^{3}+y^{2}-5 y^{3}-3+4+2+y^{3}$

View step-by-step help

Full solution

Q. Click and drag like terms onto each other to simplify fully.

\newline

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

Identify Like Terms: Identify like terms in the expression. Like terms are terms that have the same variable raised to the same power. $\newline$ $-3y^{3}$ , $-5y^{3}$ , and $y^{3}$ are like terms because they all have $y$ raised to the third power. $\newline$ $y^{2}$ is by itself because there are no other $y$ squared terms. $\newline$ $-3$ , $4$ , and $2$ are like terms because they are constant terms without variables.
Combine Like Terms: Combine the like terms that are the coefficients of $y^{3}$ .
$-3y^{3} - 5y^{3} + y^{3} = -3 - 5 + 1 = -7y^{3}$
Combine Constant Terms: Combine the constant terms. $\newline$ $-3 + 4 + 2 = 3$
Write Simplified Expression: Write the simplified expression with the combined like terms. $\newline$ The simplified expression is $-7y^{3} + y^{2} + 3$ .