jadegoodman jadegoodman

24-09-2018
Mathematics

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Use the sum of cubes identity to find the factors of the expression [tex]8x^{6} +27y^{3}[/tex]. Write your answer in the form of the expression on the right of the sum of cubes identity.

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sqdancefan sqdancefan

24-09-2018

The left term is 8x⁶ = (2x²)³.

The right term is 27y³ = (3y)³.

The sum of cubes identity is

... a³ +b³ = (a +b)(a² -ab +b²)

Filling in the values for a and b, the factors of your expression are ...

... (2x² +3y)(4x⁴ -6x²y +9y²)

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