Question

Select the expression that is equivalent to (x + 6)^2

Answer 1

The answer to the expression, (x + 6)^2 is
`x^2+12x+36`.

Explanation:

How can we solve this?

We can solve this problem by breaking (x + 6)^2 into (x + 6) (x + 6). Now, we can use FOIL to figure out the expression that is equivalent to the problem.

(x + 6) (x + 6)

First, we multiply the Xs together.

`x*x=x^2`

Next, is the Outer values.

`x*6=6x`

Third, we multiply the Inner values.

`6*x=6x`

Finally, we can multiply the Last values.

`6*6=36`

Now, we can put it all together.

`x^2+6x+6x+36`

We still have one more step left. Add like terms.

`x^2+12x+36`

The answer is
`x^2+12x+36`.