Question

Factor 7x3y4−7x2y5 completely.

A) 7xy(x^2y^3−xy^4)
B) 7x^2y^4(x−y)
C) 7(x^3y^4−x^2y^5)
D) x^2y^4(7x−7y)

Answer 1

B

Explanation:

when we factor completely, we take a look at what is the biggest common factor of 7x³y⁴ and 7x²y⁵. In this case it is 7x²y⁴.

7x³y⁴-7x²y⁵ = 7x²y⁴(x-y) which is B.