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Factoring difference of cubes - Factoring Polynomials

Factoring difference of cubes

Lessons

Notes:

\bullet Sum of cubes: a3+b3=(a+b)(a2ab+b2)a^{3} + b^{3} = (a + b)(a^{2} - ab + b^{2})

\bullet Difference of cubes: a3b3=(ab)(a2+ab+b2)a^{3} - b^{3} = (a - b)(a^{2} + ab + b^{2})

\bullet SOAP: a3±b3=(a[samesign]b)(a2[oppositesign]ab[alwayspositive]b2)a^{3} \pm b^{3} = (a[same sign]b)(a^{2}[opposite sign]ab[always positive]b^{2})

\bulletThings to consider before using the difference of cubes formula:

1. Is there a ‘difference’ sign? Are there two cubed terms?

2. Are the terms in order? (i.e. in descending order of degrees)

3. Is the first term positive?

4. Is there a Greatest Common Factor (GCF)?

  • 2.
    Factoring Using the Difference of Cubes Formula

    Factor the following expressions:

  • 3.
    Factoring Using the Difference of Cubes Formula - Extended

    Factor the following expressions:

  • 4.
    Factoring Binomials with 2 variables

    Factor the following expressions:

  • 5.
    First Factor the Greatest Common Factor, Then Apply the Difference of Cubes Formula

    Factor the following expressions:

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Factoring difference of cubes

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