Question

Multiply: 5xy(2x - y)
A. 10xy - 5xy
B. 10x^2y - 5xy^2
C. 10x^2 - 5xy + 25y^2
D. 10x^2 - xy + y^2

Answer 1

You can do this one at a time:
5*x*y*(2x-y)
5*x*(2xy-y*y)
5*(2*x*x*y-y*y*x)
10*x*x*y-5*y*y*x
10(x^2)y-6(y^2)x, B

Answer 2

\[5xy(2x - y)=10x ^{2}y-5xy ^{2}\]

Answer 3

Distributive property. Gotta love it.