Factoring The Sum Or Difference Of Cubes

A 3 b 3 then factor the difference of cubes which follows almost exactly the same format as sum of cubes.

First notice that x 6 y 6 is both a difference of squares and a difference of cubes. Gcf 2. Sum of cubes is a b a 2 ab b 2. So here are the formulas that summarize how to factor the sum and difference of two cubes.

A difference of cubes. For the sum of cubes the minus sign goes in the quadratic factor a2 ab b2. The polynomial in the form a 3 b 3 is called the sum of two cubes because two cubic terms are being added together. A sum of cubes.

The polynomial in the form a 3 b 3 is called the difference of two cubes because two cubic terms are being subtracted. Factor 2 x 3 128 y 3. That is x 3 y 3 x y x 2 x y y 2 and x 3 y 3 x y x 2 x y y 2. Factor 8 x 3 27.

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First find the gcf. They would factor out the negative. Factor x 3 125. In general factor a difference of squares before factoring a difference of cubes.

For the difference of cubes the minus sign goes in the linear factor a b.