How do you multiply (- 4x - 5) ( - 6x - 4)?

1 Answer
Mar 22, 2018

(-4x-5)(-6x-4)=color(blue)(24x^2 + 46x + 20

Explanation:

Multiply (Expand):

(-4x-5)(-6x-4)

Use the FOIL method.

![https://www.ipracticemath.com/learn/algebra/foil-method-of-binomial-multiplication](https://d2jmvrsizmvf4x.cloudfront.net/DDTzD9gWSXWrRA91SG9F_duckduckgo)
![https://en.wikipedia.org/wiki/FOIL_method](https://d2jmvrsizmvf4x.cloudfront.net/EscmaHAQQ5uTBlc9mEFX_330ef0c3bdcac979717b68df0a5d3f2405bc0788)

(-4x-5)(-6x-4)=

(-4x*-6x) + (-4x*-4) + (-5*-6x) + (-5*-4)=

24x^2+16x+30x+20

Collect like terms.

24x^2 + (16x+30x) + 20

Combine like terms.

24x^2 + 46x + 20