Question

Multiply the binomials (x+6)(2x-4)

Answer 1

Answer:

2x(square) + 8x - 24

Step-by-step explanation:

Please see the step-by-step solution in the picture attached below.

I hope this answer will help you. Have a nice day !

Answer 2

Answer:

2x^2 + 8x - 24

Step-by-step explanation:

Hello!

For this equation, where we have two binomials next to each other, we use the FOIL method.

FOIL stands for:

First

Outside/Outer

Inside/Inner

Last

This gives us the order in which we multiply two terms. In this equation, it goes as shown below:

x * 2x (The first terms in the parentheses)

x * -4 (The first term and the last term, on the outside)

6 * 2x (The last term and first term, on the inside)

6 * -4 (The last terms in the parentheses)

We multiply them together, into one LONG equation, and simplify from there:

x * 2x + x * -4 + 6 * 2x + 6 * -4

Although that looks intimidating, we just solve it step by step, term by term.

x * 2x = 2x^2

x * -4 = -4x

6 * 2x = 12x

6 * -4 = -24

2x^2 - 4x + 12x - 24

Much better! Now, we can combine like terms, and we will be done!

2x^2 + 8x - 24

Hope I helped!

-Mary