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Factor sums and difference of cubes -2x^3 - 16y^3

1 Answer

6 votes

Given:


-2x^3-16y^3

Aim:

We need to factorize the given polynomial.

Step-by-step explanation:

Take out the common term (-2).


-2x^3-16y^3=-2(x^3+8y^3)
\text{Use }8=2^3.


-2x^3-16y^3=-2(x^3+2^3y^3)


-2x^3-16y^3=-2(x^3+(2y)^3)
\text{ Use }a^3+b^3=(a+b_{})(a^2-ab+b^2),\text{ Here a=x and b=2y.}


-2x^3-16y^3=-2(x+y_{})(x^2-xy+y^2)

Final answer:


-2(x+y_{})(x^2-xy+y^2)

User Cdpautsch
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