How to find the square of difference - ACT Math

Card 0 of 3

Question

The expression is equivalent to:

Answer

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:

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Question

Expand:

Answer

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.

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Question

can be rewritten as:

Answer

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

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