
Factor each of the following differences of two squares and write your answer together with solution.

<h3><u>1. x² - 36</u></h3>

Rewrite
. The difference of squares can be factored using the rule:
.

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<h3><u>2. 49 - x²</u></h3>

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule:
.

Reorder the terms.

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<h3><u>3. 81 - c²</u></h3>

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule:
.

Reorder the terms.

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<h3><u>4</u><u>.</u><u> </u><u>m²</u><u>n</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u></h3>

Rewrite m²n² - 1 as
. The difference of squares can be factored using the rule:
.

Although x ² and x both have the variable x, you can’t add them together. So x + x + x + x is 4x and we just leave x ² the same. So the simplified expression is x ² + 4x. I hope this helped!!
3.14159265358979 is the first ten digits of pi.