college Algebra problem help?

Question

Hey,
I was given a review for my algebra class and am having some trouble figuring out some problems. If someone could help explain them to me that would be wonderful! Thanks for you help :)
p.s. sorry i couldnt get them alligned right on the compter so hopefully its understandable


3) x^2 + 2xy this fraction 5x + 10
_________ divided by ___________
x^3 - x^2y that x^2-2xy +y^2



4) 2 fraction 6n
_____ subtract _________
n-1 fraction n^2 + n - 2


5) 1 - 1
___ ____
w x
_____________________
1 fraction 1
_______ subract ______
w^2 fraction x^2

Answer 1

Sorry I can't make sense.



Use brackets. eg is 3)



[ ( x^2 + 2xy) / (5x + 10)] / [ (x^3 - x^2y)/(x^2-2xy + y^2) ] ????



or is it

( x^2 + 2xy) / (x^3 - x^2y) divided by (5x +10) / (x^2 -2xy + y^2) ????

Answer 2

If I understand the equations the first one is dividing by a fraction, which is the same as multiplying by the inverse. Flip one of the fractions upside down and multiply the equations through as normal.



For the next 2 in order to add or subtract fractions we need to have the denominators match. Make a fraction out of each denominator ( (n-1)/(n-1) and (n^2+n-2)/(n^2+n-2) and then multiply the other fraction by the fraction you created from the denominator of the other and then add the numerators as normal.

Answer 3

(80 5 + 80 3 + ninety + ninety 4 +88 + 80 4 + x) / 7 = 86 the position x equals the seventh try score that we favor to locate. (524 + x)/7 = 86 524 + x = 86 *7 x = (86 * 7) - 524 x = seventy 8 so he needs a seventy 8 on his seventh exam to get an popular of 86.

Answer 4

3) x^2 + 2xy this fraction 5x + 10

_________ divided by ___________

x^3 - x^2y that x^2-2xy +y^2



if i understand the problem you have

x(x+2y)/x^2(x-2y) divided by 5(x+2)/(x-y)^2

(x+2y) (x-y)^2 / 5x(x+2)(x-2y)



but maybe you meant this

3) x^2 + 2xy this fraction 5x + 10

_________ divided by ___________

x^3 - x^2y that x^2-2xy +y^2



x(x+2y)/5(x+2) divided by x^2(x+2y)/(x+y)^2

x(x+2y)/5(x+2) times (x+y)^2/x^2(x+2y)

1/5(x+2) times (x+y)^2/x

(x+y)^2/5x(x+2)



============================







4) 2 fraction 6n

_____ subtract _________

n-1 fraction n^2 + n - 2



2/6n - (n-1)/(n+2)(n-1)



1/3n - 1/(n+2)



(n+2)/3n(n+2) - 3n/3n(n+2)



(n+2-3n)/3n(n+2)

(-2n+2)/3n(n+2)



numerator can be factored, but you can not reduce

==============================





5) 1 - 1

___ ____

w x





1/w - 1/x

x/wx - w/wx



(x-w)/wx

========================_____________________

1 fraction 1

_______ subract ______

w^2 fraction x^2





1/w^2 - 1/x^2



x^2/w^2x^2 - w^2/x^2w^2



(x^2-w^2)/x^2w^2