Answer :

Answer:

2x² - 8x - 24

Step-by-step explanation:

given

(2x + 4)(x - 6)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(x - 6) + 4(x - 6) ← distribute parenthesis

= 2x² - 12x + 4x - 24 ← collect like terms

= 2x² - 8x - 24

Answer:

[tex]2x^2-8x-24[/tex]

Step-by-step explanation:

Given the expression:

[tex](2x+4)(x-6)[/tex]

Determine the product (multiplication).

To obtain the product, the FOIL method can be used.

Where:

F = first

O = outside

I = inside

L = last

Solve:

[tex](2x+4)(x-6) \\[/tex]

First:

[tex]2x(x)=2x^2[/tex]

Outside:

[tex]2x(-6)=-12x[/tex]

Inside:

[tex]4(x)=4x[/tex]

Last:

[tex]4(-6)=-24[/tex]

Now, combine like terms.

[tex]2x^2-12x+4x-24\\2x^2-8x-24[/tex]

Thus, the product of the expression is:

[tex]2x^2-8x-24[/tex]