Question

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

Answer 1

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

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