Subtract.
(4y^2-3y+1)-(-8y^3+3)
To subtract these polynomials, we need to distribute the negative sign to every term inside the parentheses:
4y^2 - 3y + 1 + 8y^3 - 3
Now we can combine like terms, starting with the highest degree of y:
8y^3 + 4y^2 - 3y + 1 - 3
Simplifying:
8y^3 + 4y^2 - 3y - 2
So the difference of (4y^2-3y+1)-(-8y^3+3) is 8y^3 + 4y^2 - 3y - 2.
To subtract the expression (4y^2 - 3y + 1) - (-8y^3 + 3), follow these steps:
Step 1: Remove the parentheses of the second expression by distributing the negative sign inside.
(4y^2 - 3y + 1) + 8y^3 - 3
Step 2: Rearrange the terms in descending order of the exponent of y.
8y^3 + 4y^2 - 3y + 1 - 3
Step 3: Combine the like terms.
8y^3 + 4y^2 - 3y - 2
Therefore, the simplified expression is 8y^3 + 4y^2 - 3y - 2.