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]