Multiply the following binomials. Show your work.

(2x + 1) (x - 3)

Answer:2x^2-5x-3

Step-by-step explanation: (2x + 1) (x - 3)

Multiply x and 2

Multiply x and 1

The x just gets copied along.

The answer is x

x

2*x evaluates to 2x

2*x+1 evaluates to 2x+1

x-3 evaluates to x-3

First, you multiply the two First terms, the 2x and x together.

Multiply 2x and x

Multiply the x and x

Multiply x and x

Combine the x and x by adding the exponents, and keeping the x, to get

The answer is x^2

Second, you multiply the two Outer terms, the 2x and - 3 together.

Multiply 2x and - 3

Multiply x and 1

The x just gets copied along.

The answer is x

x

2x * - 3 = - 6x

Third, you multiply the two Inner terms, the 1 and x together.

Multiply 1 and x

Multiply 1 and x

The x just gets copied along.

x

-6x combines with x to give - 5x

Lastly, you multiply the two Last terms, the 1 and - 3 together.

Multiply 1 and - 3

1

1 * - 3 = - 3

(2*x+1) * (x-3) evaluates to 2x^2-5x-3

In this question, you would multiply by using FOIL.

FOIL stands for First, Outside, Inside, Last.

Solve by using FOIL:

(2x + 1) (x - 3)

First: (2x) (x) = 2x²

Outside: (2x) (-3) = - 6x

Inside: (1) (x) = x

Last: (1) (-3) = - 3

2x² - 6x + x - 3

Combine like terms:

2x² - 6x + x - 3

2x² - 5x - 3

Answer:

2x² - 5x - 3