ACT Math : How to find the square of difference

Example Questions

Example Question #1 : How To Find The Square Of Difference

can be rewritten as:

Explanation:

Use the formula for solving the square of a difference, . In this case,

Example Question #2 : Squaring / Square Roots / Radicals

Expand:

Explanation:

To multiply a difference squared, square the first term and add two times the multiplication of the two terms. Then add the second term squared.

Example Question #2 : How To Find The Square Of Difference

The expression   is equivalent to:

Explanation:

First, we need to factor the numerator and denominator separately and cancel out similar terms. We will start with the numerator because it can be factored easily as the difference of two squares.

Now factor the quadratic in the denominator.

Substitute these factorizations back into the original expression.

The  terms cancel out, leaving us with the following answer: