Click and drag like terms onto each other to simplify fully. 4y^(2)+5-3y^(3)+3y^(3)+2y^(2)-7y^(2)-3

Identify Like Terms: Identify like terms in the expression 4y^(2)+5-3y^(3)+3y^(3)+2y^(2)-7y^(2)-3. Like terms are terms that have the same variable raised to the same power. Here, the like terms are: - 4y^(2), 2y^(2), and -7y^(2) because they all have y raised to the power of 2. - -3y^(3) and 3y^(3) because they both have y raised to the power of 3. - 5 and -3 because they are both constant terms without any variables.Combine Like Terms with y^2: Combine the like terms that have y raised to the power of 2. 4y^(2) + 2y^(2) - 7y^(2) = (4 + 2 - 7)y^(2) = -1y^(2)Combine Like Terms with y^3: Combine the like terms that have y raised to the power of 3. -3y^(3) + 3y^(3) = (-3 + 3)y^(3) = 0y^(3) Since 0 times any number is 0, the y^(3) terms cancel each other out.Combine Constant Terms: Combine the constant terms. 5 - 3 = 2Write Simplified Expression: Write down the simplified expression with the combined like terms. The y^(3) terms have canceled out, so we are left with -1y^(2) and the constant term 2. The simplified expression is -1y^(2) + 2.

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.

4y^(2)+5-3y^(3)+3y^(3)+2y^(2)-7y^(2)-3

Click and drag like terms onto each other to simplify fully. $\newline$ $4 y^{2}+5-3 y^{3}+3 y^{3}+2 y^{2}-7 y^{2}-3$

View step-by-step help

Full solution

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

\newline

4 y^{2}+5-3 y^{3}+3 y^{3}+2 y^{2}-7 y^{2}-3

Identify Like Terms: Identify like terms in the expression $4y^{2}+5-3y^{3}+3y^{3}+2y^{2}-7y^{2}-3$ . Like terms are terms that have the same variable raised to the same power. Here, the like terms are: $\newline$ - $4y^{2}$ , $2y^{2}$ , and $-7y^{2}$ because they all have $y$ raised to the power of $2$ . $\newline$ - $-3y^{3}$ and $3y^{3}$ because they both have $y$ raised to the power of $3$ . $\newline$ - $4y^{2}$ $0$ and $4y^{2}$ $1$ because they are both constant terms without any variables.
Combine Like Terms with $y^2$ : Combine the like terms that have $y$ raised to the power of $2$ . $4y^{2} + 2y^{2} - 7y^{2} = (4 + 2 - 7)y^{2} = -1y^{2}$
Combine Like Terms with $y^3$ : Combine the like terms that have $y$ raised to the power of $3$ . $\newline$ $-3y^{3} + 3y^{3} = (-3 + 3)y^{3} = 0y^{3}$ $\newline$ Since $0$ times any number is $0$ , the $y^{3}$ terms cancel each other out.
Combine Constant Terms: Combine the constant terms. $5 - 3 = 2$
Write Simplified Expression: Write down the simplified expression with the combined like terms. $\newline$ The $y^{3}$ terms have canceled out, so we are left with $-1y^{2}$ and the constant term $2$ . $\newline$ The simplified expression is $-1y^{2} + 2$ .