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AnimeBrainly

Answer:

2x² - 14x + 24

Step-by-step explanation:

Use the FOIL method (First, Outside, Inside, Last).

First, multiply the first term of both parenthesis:

2x * x = 2x²

Next, multiply the outside terms of both parenthesis:

2x * -4 = -8x

Then, multiply the inside terms of both parenthesis:

-6 * x = -6x

Finally, multiply the last terms of both parenthesis:

-6 * -4 = 24

Combine like terms:

2x² - 8x - 6x + 24

2x² (-8x - 6x) + 24

2x² (-14x) + 24

2x² - 14x + 24 is your answer.

~

doomdabomb

Answer:

[tex]2x^{2} -14x+24[/tex]

Step-by-step explanation:

1. Distribute

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

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

2. Distribute

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

[tex]2x^2-8x-6(x-4)[/tex]

3. Distribute

[tex]2x^2-8x-6(x-4)[/tex]       Distribute [tex]-6(x-4)[/tex]

[tex]2x^2-8x-6x+24[/tex]

4. Combine like terms

[tex]2x^2-8x-6x+24[/tex]        Combine the like terms

[tex]2x^2-14x+24[/tex]