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But your intuition is correct. A polynomial in the form a 3 b 3 is called difference of cubes.

Easy Way To Remember Sum And Difference Of Cubes Formula Math

In simple words it is used to equate the difference of two cube values.

Difference of cubes formula. The difference of two cubes is a special case of multiplying polynomials. It would be easier for you to remember the formula for difference between 2 cubes. When you re given a pair of cubes to factor carefully apply the appropriate rule.

You can find the value of cube difference with the formula below. The difference of cubes formula in algebra is used to calculate the value of the algebraic expression a 3 b 3. And the minus sign for the sum of cubes goes in the quadratic factor a 2 ab b 2.

These sum and difference of cubes formulas quadratic terms do not have that 2 and thus cannot factor. In simple words it is used to equate the difference of two cube values. Explanation of the formula direct method.

The minus sign for the difference of cubes goes with the linear factor a b. Difference of cubes is not really a separate rule but it can seem a bit confusing since difference of squares and sum of squares are different rules. By carefully i mean using parentheses to keep track of everything especially the negative signs.

By just keeping in mind that for the difference of cubes the minus sign goes with the linear factor a b and for the sum of cubes the minus sign goes in the quadratic factor a 2 ab b 2. Since both terms are perfect cubes factor using the difference of cubes formula a3 b3 a b a2 ab b2 where a x and b 5. We could also determine the validity of the formula using the same methods we established in the sum of cubes lesson.

A b a 2 ab b 2 a 3 b 3 it comes up sometimes when solving things so is worth remembering. Difference of cubes formula. We can verify the factoring formula by expanding the result and seeing that it simplifies to the original as follows.

You could write the sample polynomial as 5 2c 3 d 3.