Question

Please help! Will give the brain thing! 40 points.

Simplify each Polynomial Expression:
1. 2x(-3x - 1)
2. -x(4 + 2x)
3. -5x(-2x + 4)
4. x(-2x - 2) + 3(-4x - 6x)
5. 2xy(-3x - 5y) + 4y(-2xy - 4x)

Answer 1

1. 2x(-3x - 1)

-6x^2 - 2x

2. -x(4 + 2x)

-4x - 2x^2

3. -5x(-2x + 4)

10x^2 - 20x

4. x(-2x - 2) + 3(-4x - 6x)

-2x^2 - 2x - 12x - 18x

-2x^2 - 32x

5. 2xy(-3x - 5y) + 4y(-2xy - 4x)

-6x^2y - 10xy^2 -8xy^2 - 16yx

-6x^2y -18xy^2 - 16yx

Answer 2

1. 2x(-3x - 1)

-6x^2 - 2x

2. -x(4 + 2x)

-4x - 2x^2

3. -5x(-2x + 4)

10x^2 - 20x

4. x(-2x - 2) + 3(-4x - 6x)

-2x^2 - 2x - 12x - 18x

-2x^2 - 32x

5. 2xy(-3x - 5y) + 4y(-2xy - 4x)

-6x^2y - 10xy^2 -8xy^2 - 16yx

-6x^2y -18xy^2 - 16yx

You just distribute (multiply) what's outside the parentheses with everything inside the parentheses. Then, combine like terms.