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))`