Question

Use the distributive property to multiply (3w + 5)(–2w – 7).

-6w^2+31w+35
6w^2-21w-35
-6w^2-31w-35
6w^2-21w+30

Answer 1

`=-6w^2-31w-35`

Explanation:

Apply Foil.

`\left(3w+5\right)\left(-2w-7\right)=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)`

`=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)`

`=-6w^2-31w-35`