Factor the following expression and include a second degree expression as a factor. 16x3 + 54y6

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18-05-2018
Mathematics

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Factor the following expression and include a second degree expression as a factor. 16x3 + 54y6

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sqdancefan sqdancefan · Answer 1 · 2018-05-18T19:57:52+02:00

sqdancefan sqdancefan

18-05-2018

This problem asks you to make use of the form for factoring the sum of cubes.

[tex]a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})\\\\16x^{3}+54y^{6}=2((2x)^{3}+(3y^{2})^{3})\\\\=2(2x+3y^{2})(4x^{2}-6xy^{2}+9y^{4})[/tex]

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