Question

Simplify the following expression.

Simple answer with a good explanation, please

5(x + y) + 3(x - y)

Answer 1

8x + 2y

Explanation:

You need to use distributive property.

5(x + y)

5 · x = 5x

5 · y = 5y

3(x - y)

3 · x = 3x

3 · -y = -3y (don't forget the sign)

So,

5x + 5y + 3x - 3y

Arrange them,

5x + 3x + 5y - 3y

Simplify,

5x + 3x = 8x

5y - 3y = 2y

So,

8x + 2y