College Algebra

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9 Terms

1
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When do we set the numerator equal to 0?

to find solutions

2
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difference of cubes (a³-b³)

(a-b)(a²+ab+b²)

3
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when do we set the denominator equal to 0?

to find restrictions (makes the equation undefined)

4
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difference of squares (a²-b²)

(a-b)(a+b)

5
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(mnemonic device) “the difference of squares factors to…”

“conjugate pairs!”

6
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sum of cubes (a³+b³)

(a+b)(a²-ab+b²)

7
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perfect square trinomial/square of a binomial (a+b)² or (a-b)²

a²±2ab+b² (first sign always stays the same)

8
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soap

sum/difference of cubes: same, opposite, always positive

9
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when do you split the middle term vs go ahead and factor them out?

when a≠1, split the middle term.