Question

Multiply (4x-3w)(5x-7w)

Answer 1

`20 {x}^(2) - 43xw + 21 {w}^(2)`

solution,

`(4x - 3w)(5x - 7w) \\ = 4x(5x - 7w) - 3w(5x - 7w) \\ = 20 {x}^(2) - 28xw - 15xw + 21 {w}^(2) \\ = 20 {x}^(2) - 43xw + 21 {w}^(2)`

Hope this helps...

Good luck on your assignment..

Answer 2

20x² - 43xw + 21w²

Explanation:

We use FOIL to expand the expression:

F - First

4x(5x) = 20x²

O - Outside

4x(-7w) = -28xw

I - Inside

-3w(5x) = -15xw

L - Last

-3w(-7w) = 21w²

20x² - 28xw - 15xw + 21w²

Combine like terms and add up using correct signs and you should get your answer.