Question

Which expression is equivalent to (3x+4)(7x-2)​

Answer 1

B.

Explanation:

Let's use the FOIL (First, Outside, Inner, Last) method.

We need to multiply the first terms in each pair of parentheses, which are

3x and 7x.

Multiplying, we get
`21x^2`.

We multiply the outside terms in each pair, which are 3x and -2.

Multiplying, we get
`-6x`. Remember that since -2 is negative, then the whole product is negative.

We need to multiply the inner terms now. They are 4 and 7x.

Multiplying, we get
`28x`.

Finally, we multiply the last terms in each pair of parentheses. they are 4 and -2.

Multiplying, we get
`-8`.

Now, we put the terms together.

`21x^2-6x+28x-8`

We can combine -6x, and 28x. Doing this, we get

`21x^2+22x-8`. Which gives us B.

I hope this helped.

Answer 2

21x² + 22x - 8

Explanation:

(3x+4)(7x-2)​ = 21x² - 6x + 28x - 8 = 21x² + 22x - 8