randRange(2, 6) randRange(1, 6) randFromArray([2, 3, 5]) A * A -B * B

Factor the expression below completely. All coefficients should be integers.

`F * SQUAREx^2 + F * CONSTANT`

F(Ax + B)(Ax - B)

We can start by factoring a `\green{F}` out of each term:

`\qquad \green{F}(\pink{SQUAREx^2} - \blue{abs(CONSTANT)})`

The second term is of the form `\pink{a^2} - \blue{b^2}`, which is a difference of two squares so we can factor it as `\green{F}(\pink{a} + \blue{b})(\pink{a} - \blue{b})`.

What are the values of `\pink{a}` and `\blue{b}`?

`\qquad \pink{a = \sqrt{SQUAREx^2} = Ax}`

`\qquad \blue{b = \sqrt{B * B} = B}`

Use the values we found for `\pink{a}` and `\blue{b}` to complete the factored expression, `\green{F}(\pink{a} + \blue{b})(\pink{a} - \blue{b})`.

So we can factor the expression as: `\green{F}(\pink{Ax} + \blue{B}) (\pink{Ax} - \blue{B})`