Question

What are the factors of x²y-3x²+5xy-15x ?

A. x(x-5)(y-3)
B. x(x+5)(y+3)
C. x(x+5)(y-3)
D. x(x-5)(y+3)

Answer 1

The factors of the expression x²y-3x²+5xy-15x are x(x-5)(y-3).

Step-by-step explanation:

The factors of the expression x²y-3x²+5xy-15x can be found by factoring out common terms. We can see that each term in the expression has at least one factor of x. By factoring out x from each term, we get:

x²y-3x²+5xy-15x = x(x(y-3)-3x+5y-15)

Now we can simplify what's inside the parentheses:

x(y-3)-3x+5y-15 = xy-3x-3x+5y-15 = xy-6x+5y-15

So the simplified expression with the factors is x(x(y-3)-3x+5y-15). Therefore, the correct answer is A. x(x-5)(y-3).