Question

Simplify the following expressions. a. (×2 5y) - (3x2 - 10y) =

Answer 1

To simplify the expression (x^2 5y) - (3x^2 - 10y), you subtract the second polynomial from the first and combine like terms, resulting in the simplified expression -2x^2 + 15y.

Step-by-step explanation:

To simplify the mathematical problem given by the expression (x2 5y) - (3x2 - 10y), we need to subtract the second polynomial from the first.

Simplifying polynomial expressions typically involves combining like terms, which are terms that have the same variables raised to the same power.

Here are the steps we'll take:

1. Write down the given expressions with their subtraction sign: (x2 + 5y) - (3x2 - 10y).
2. Distribute the negative sign to the terms inside the parentheses: x2 + 5y - 3x2 + 10y.
3. Combine like terms: x2 - 3x2 gives us -2x2, and 5y + 10y gives us 15y.
4. The simplified expression is -2x2 + 15y.