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

serenerain

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.

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