Question

What is the completely factored form of this expression?

9x^3y-100xy
A= (3x - 10y) (3x^2 + 30xy + 100)
B= xy(3x – 10)(3x + 10)
C= xy(3x– 10)^2
D= xy(3x + 10)^2

Answer 1

The completely factored form of the expression 9x^3y - 100xy is xy(3x - 10)(3x + 10).

Step-by-step explanation:

The completely factored form of the expression 9x^3y - 100xy is option B: xy(3x - 10)(3x + 10).

To find the completely factored form, we need to look for common factors and factor them out. In this case, we can factor out xy from both terms:

9x^3y - 100xy = xy(9x^2 - 100)

Now, we have a difference of squares in the second term, which can be factored as (3x - 10)(3x + 10):

xy(9x^2 - 100) = xy(3x - 10)(3x + 10)

So, the completely factored form of the expression is xy(3x - 10)(3x + 10).