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

1 Answer
Meave60
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#

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