13
QuizMultiple Choice

Factoring Polynomials Completely — Quiz

Question 13 • Mathematics III

What is the completely factored form of x y cubed minus x cubed y ?

Answer
A
x y open paren y minus x close paren open paren y minus x close paren
B
x y open paren x minus y close paren open paren x squared plus x y plus y squared close paren
C
x y open paren y plus x close paren open paren y minus x close paren
D
x y open paren x minus y close paren open paren y squared plus x y plus x squared close paren

Explanation

First factor out the common factor xy: xy³ − x³y = xy(y² − x²). Then use the difference of squares rule, y² − x² = (y + x)(y − x). This gives xy(y + x)(y − x), which is choice C.

AI-written and checked against the verified answer.

Previous
Next