Difference of Perfect Squares - Concept

Concept Concept (1)

Simplifying rational expressions combines everything learned about factoring common factors and polynomials. When simplifying rational functions, factor the numerator and denominator into terms multiplying each other and look for equivalents of one (something divided by itself). Include parenthesis around any expression with a "+" or "-" and if all terms cancel in the numerator, there is still a one there.

Sample Sample Problems (8)

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Difference of Perfect Squares - Problem 1

Factor:

x² − 16
Problem 1
How to factor a perfect square if a = 1.
Difference of Perfect Squares - Problem 2

Factor:

16x² − 81
Problem 2
How to factor a perfect square if a does not equal 1.
Difference of Perfect Squares - Problem 3

Factor:

x⁶ − 4y²
Problem 3
How to factor a perfect square if the exponents are larger than 2.
Difference of Perfect Squares - Problem 4
Problem 4
A math video explaining advanced level factoring using difference of perfect squares.
Difference of Perfect Squares - Problem 5
Problem 5
Factoring with repeated differences of perfect squares
Difference of Perfect Squares - Problem 6
Problem 6
An exploration of three methods for understanding how to factor the difference of perfect squares.
Difference of Perfect Squares - Problem 7
Problem 7
Identifying binomials that are a difference of perfect squares and using shortcuts to factor them.
Difference of Perfect Squares - Problem 8
Problem 8
Factoring by first identifying a greatest common factor, or GCF