How to Factor a Binomial?

Identify the greatest common factor, if any

Factor out the greatest common factor

Check whether the binomial is a difference of squares

Use the formula a^2 – b^2 = (a – b)(a + b)

Check whether the binomial is a sum or difference of cubes

Use the formulas a^3 + b^3 = (a + b)(a^2 – ab + b^2)

Use the formulas a^3 – b^3 = (a – b)(a^2 + ab + b^2)

Verify by multiplying the factors back together

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