Perform Operations with Polynomials in Several Variables
-$$( x - y ) \left( x ^ { 2 } + x y + y ^ { 2 } \right)$$
A) $x ^ { 3 } - y ^ { 3 }$
B) $x ^ { 3 } + y ^ { 3 }$
C) $x ^ { 3 } - 2 x ^ { 2 } y - 2 x y ^ { 2 } - y ^ { 3 }$
D) $x ^ { 3 } + 2 x ^ { 2 } y + 2 x y ^ { 2 } - y ^ { 3 }$

Question

Quizplus · Accepted Answer

This is an application of the difference of cubes formula, $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$, where $a = x$ and $b = y$.

Perform Operations with Polynomials in Several Variables - (x−y)(x2+xy+y2)( x - y ) \left( x ^ { 2 } + x y + y ^ { 2 } \right)(x−y)(x2+xy+y2)

Perform Operations with Polynomials in Several Variables
- $( x - y ) \left( x ^ { 2 } + x y + y ^ { 2 } \right)$