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- The difference of cubes is a formula used to factorize the cubes in polynomial12. A binomial in the form a3 –b3 can be factored as (a−b)(a2 +ab+b2)1. Examples of factoring using the difference of cubes formula include31:
- Factor 8x6 − 125y9 as a difference of cubes.
- Factor 64x9/2 − 343y6 as a difference of cubes.
- Factor 5x12 − 135y30 as a difference of cubes.
- Factor 24x21 − 375y15 as a difference of cubes.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.The Difference of Cubes A binomial in the form a3 –b3 a 3 – b 3 can be factored as (a−b)(a2 +ab+b2) (a − b) (a 2 + a b + b 2). Examples The factored form of x3 –64 x 3 – 64 is (x–4)(x2 +4x+16) (x – 4) (x 2 + 4 x + 16). The factored form of 27x3 –8y3 27 x 3 – 8 y 3 is (3x–2y)(9x2 +6xy+4y2) (3 x – 2 y) (9 x 2 + 6 x y + 4 y 2).courses.lumenlearning.com/intermediatealgebra/ch…Difference of Cubes
- Difference of Cubes Formula A cube is a number multiplied by itself twice. The difference of cube formula is the formula that is used to find difference of two cubes without actually finding the cube. ...
www.geeksforgeeks.org/difference-of-cubes/Factor 8x6 − 125y9 8 x 6 − 125 y 9 as a difference of cubes. Problem 8 Factor 64x9/2 − 343y6 64 x 9 / 2 − 343 y 6 as a difference of cubes. Problem 9 Factor 5x12 − 135y30 5 x 12 − 135 y 30 as a difference of cubes. Problem 10 Factor 24x21 − 375y15 24 x 21 − 375 y 15 as a difference of cubes.www.mathwarehouse.com/algebra/polynomial/ho… - People also ask
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WEBDemonstrates the process of factoring polynomials in the form of a^3 + b^3 and a^3 - b^3, commonly referred to as the Sum and Difference of Two Cubes, respectively. The crucial step involves identifying the pattern …
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