Answer:
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.