Question

Write an equivalent expression for (x-3)(x-2)

Answer 1

(x - 3)(x - 2)

Solve using the FOIL method.

1. First
2. Outside
3. Inside
4. Last

We will be multiplying. Using FOIL, we will be multiplying the first numbers, outside numbers, inside numbers, and last numbers. This is how your steps should look like:

1. x * x
2. x * -2
3. -3 * x
4. -3 * -2

After using the FOIL method, rewrite the expression.

x² - 2x - 3x + 6

There is one more step to making sure the expression is fully simplified. We will be combining like terms. The like terms are -2x and -3x, so combine and simplify the expression.

x² - 5x + 6

is your answer by using the FOIL method to solve.

Answer 2

This expression is factored completely. However, if we foil, we can make it to it's original expression.

When you foil, you get:

$x^2-2x-3x+6$

Simplify.

$x^2-5x+6$