Question

Simplify the following expression. -x(y + 2)-3(-3 - x)​

Answer 1

To simplify the expression -x(y + 2)-3(-3 - x), distribute the multiplication to get -xy - 2x + 9 + 3x and then combine like terms to get the final simplified expression -xy + x + 9.

Step-by-step explanation:

The student asked to simplify the expression -x(y + 2)-3(-3 - x). To simplify this expression, we shall distribute the multiplication and combine like terms.

1. Distribute -x across (y + 2): -xy - 2x.
2. Distribute -3 across (-3 - x): +9 + 3x.
3. Combine like terms: -xy - 2x + 9 + 3x.
4. Simplify by adding the x terms: -xy + x.
5. The final simplified expression is -xy + x + 9.

When simplifying algebraic expressions, the key steps involve distributing multiplication, combining like terms, and simplifying the terms.