Answer :
Answer:
2x² - 4x - 16
Step-by-step explanation:
given the product of two factors
(2x + 4)(x - 4)
Each term in the second factor is multiplied by each term in the first factor , that is
2x(x - 4) + 4(x - 4) ← distribute parenthesis
= 2x² - 8x + 4x - 16 ← collect like terms
= 2x² - 4x - 16
Answer:
2x² - 4x - 16
Step-by-step explanation:
FOIL
We are asked to simplify the following expression:
[tex]\star\quad\sf (2x+4)(x-4)[/tex]
Let's apply the FOIL method.
FOIL stands for:
first
outside
inside
last
In this case, the first terms are:
2x and x
- 2x * x = 2x²
The outside terms are:
2x and -4
- 2x * (-4) = -8x
The inside terms are:
4 and x
- 4 * x = 4x
The last terms are:
4 and -4
- -16
We get:
- [tex]\sf 2x^2-8x+4x-16[/tex]
- [tex]\sf 2x^2-4x-16[/tex]
⇒ Therefore, the answer is: 2x² - 4x - 16.
