He expression x2y - 2xy - 24y can be factored by first factoring out a common factor of y.

y (x+4) (x-6)

Step-by-step explanation:

We have given an expression.

x²y-2xy-24y

We have to factor above expression.

Taking y as common from given expression, we have

y (x²-2x-24)

Applying factorization, we have

Splitting the middle term of above expression, we have

y (x²-6x+4x-24)

Making groups, we have

y (x (x-6) + 4 (x-6))

Taking x-6 as common, we have

y (x+4) (x-6) which is the answer.

The expression x2y - 2xy - 24y can be factored by first factoring out a common factor of y.

y (x-6) (x+4) <===Your Answer!