randRange(2, 9) randRange(1, 9) A * A -B * B

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

SQUAREx^2 +- abs(CONSTANT)

(Ax + B)(Ax - B)

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

$("#question-x").addClass("hint_pink"); $("#question-c").addClass("hint_blue");

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, (\pink{a} + \blue{b})(\pink{a} - \blue{b}).

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