Add polynomials
(4y+5y2) + (2y3-8y2)
4y + 5y^2 + 2y^3 - 8y^2
collect like powers to get
2y^3 - 3y^2 + 4y
To add polynomials, we simply combine like terms. Like terms have the same variable(s) raised to the same power(s).
Let's break down the given expression step by step.
(4y + 5y^2) + (2y^3 - 8y^2)
First, let's remove the parentheses and combine the like terms with respect to the variable and their respective powers:
4y + 5y^2 + 2y^3 - 8y^2
Next, we can rearrange the terms without changing their values:
2y^3 + 5y^2 - 8y^2 + 4y
Now, let's combine the like terms:
2y^3 + (5y^2 - 8y^2) + 4y
Since 5y^2 and -8y^2 have the same variable and power, they can be combined:
2y^3 - 3y^2 + 4y
So, the sum of the given polynomials is 2y^3 - 3y^2 + 4y.