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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.

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Sample Problems
(8)

Need help with "Difference of Perfect Squares" problems?
Watch expert teachers solve similar problems to develop your skills.

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Problem 1

How to factor a perfect square if a = 1.

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Problem 2

How to factor a perfect square if a does not equal 1.

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Problem 3

How to factor a perfect square if the exponents are larger than 2.

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Problem 4

A math video explaining advanced level factoring using difference of perfect squares.

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Problem 5

Factoring with repeated differences of perfect squares

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Problem 6

An exploration of three methods for understanding how to factor the difference of perfect squares.

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Problem 7

Identifying binomials that are a difference of perfect squares and using shortcuts to factor them.

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Problem 8

Factoring by first identifying a greatest common factor, or GCF