Question

Select one of the factors of x*2y*3 − 11x*2y + 6y*2 − 66.
a. (x*2y + 6)
b. (x*2y − 6)
c. (y*2 + 11)
d. (y − 3)

Answer 1

(x2y + 6) A :)

Answer 2

heres what i had to go thurgh

Answer 3

to get the answer

Answer 4

(x^2)(y^3) – 11(x^2)(y) + 6(y^2) – 66 = 0
(x^2)(y^3) - 11(x^2)(y) + 6(y^2) = 66

Factor a "y" out of the left side.

y[(x^2)(y^2) - 11(x^2) + 6y)] = 66
(x^2)(y^2) - 11(x^2) + 6y = 66 / y

Now put the 6y on the other side.

(x^2)(y^2) - 11(x^2) = (66 / y) - 6y

Factor, now, the x^2 on the left side.

(x^2)[y^2 - 11] = (66 / y) - 6y

I would advise, now, finding a common denominator for the right side so that you can get rid of the fraction.

(66 / y) - 6y
= (66 / y) - ((6y^2) / y)
= (66 - 6y^2) / y

So now you have:

(x^2)[y^2 - 11] = (66 - 6y^2) / y

Divide the y^2 - 11 part off to the right side:

x^2 = (66 - 6y^2) / [y * (y^2 - 11)]

Notice how you can factor out a 6 in the numerator.

x^2 = [6(11 - y^2)] / [y * (y^2 - 11)]

Factor a negative off of the top so that you can divide out the (y^2 - 11).

x^2 = [-6(y^2 - 11)] / [y * (y^2 - 11)]
x^2 = -6 / y

Put everything on one side so that the equation = 0.

(x^2)(y) = -6
(x^2)(y) + 6 = 0.

The answer is A.