Question

What is (4c-3d)(3c+d)

Answer 1

`12c^2 - 3d^2 - 5dc`

Explanation:

Foil out the factored expression.

`(4c-3d)(3c+d)`

First, undistribute.

`= (4c)(3c + d) - (3d)(3c+d)`

`= (12c^2 + 4dc) - (9dc+3d^2)`

`= 12c^2 + 4dc - 9dc-3d^2`

Then, combine like terms.

`= 12c^2 + (4dc - 9dc) - 3d^2`

`= 12c^2 - 5dc - 3d^2`

Finally, reorder the terms by their powers (if the problem asks for it).

`= 12c^2- 3d^2 - 5dc`