Solve x^2 - 4 / x+2 divided by x-2 / 6x^5?

Question

The answer is 6x^5 but how do I solve it?

Answer 1

(x^2 - 4) / (x+2) divided by (x-2) / 6x^5
={[(x+2)(x-2)]/(x+2)}[6x^5)/(x-2)]
= 6x^5 [ since evrything else cancelsout]

Answer 2

first off, remember that dividing fractions is done by taking the reciprical of the second fraction and multiplying ie. x^2-4/x+2 times 6x^5/x-2. Then, x^2-4 can be factored into (x+2)(x-2) which allows you to cancel everything except the 6x^5. Since that can't be factored or reduced, 6x^5 is your final answer.

Answer 3

taking the first ratio
x^2-4/x+2
factorising the numerator
(x-2)(x+2)/(x+2)
cancelling out the x+2 term in numerator and denominator to get
x-2

now take the other term
x-2/6x^5
this cant be furtherfactorised

so we divide the first term by the second term
for this we actually multiply the reciprocal of the second term by the first term
reciprocal of the second term is = 6x^5/x-2

now multiply the reduced for of the first term i.e. (x-2) with the reciprocal of the second term
(x-2) * 6x^5/(x-2)
there is x-2 both in the numerator and denominator so they get cancelled
left is 6x^5...which is the answer

Answer 4

OK, this could seem confusing but go with it...

When you start off, to make it easier for you, make it into a multiplication instead of a division and you get

x^2-4 6x^5
x+2 X x-2 (imagine this with lines for the divide)

Then you multiply it out to get

(6x^7)-(24x^5)
x^2-4

Then if you have done division of polynomials (any multiplication with a power liked squared then you do that to get

_______6x^5__________
( x^2-4) 6x^7 - 24x^5
-24^5

Which means that it comes to 6x^5

If this means nothing to you then message me and i can explain it more :D
Hope its helped

Answer 5

(x^2-4)/(x-2)=(x+2)(x-2)/(x-2)=(x+2)
so, we have (x+2)/[(x+2)/6x^5]
=6x^5 because the (x+2) cancels out and the 6x^5 goes to the numerator.