Question

Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.

A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.

Answer 1

The answer is D. X^2y^2(x^2-3xy)

Answer 2

D is correct (although they could have factored one more x out :D) .

Simply multiplying the value that has been factored out back in again gives you the initial term again :).

In A, we would habe 3x^4y^2-3x^3y^2. Note the 3 in the first summand and the exponent of the second y being wrong.

In B, we would have 3x^4y^4-3x^3y^3. Note the 3 in the first summand being wrong.

In C, we would have x^3y^2-3x^3y^3. Note the first x having the wrong exponent.

Have a nice weekend