Question

Simplify the complex fraction [a/b - b/a][a - a^2/(a+b)]

Answer 1

a - b

Answer 2

over b?

Answer 3

I got (a-b)/b

Answer 4

[(a^2 - b^2)/ab] [(a^2 + ab - a^2)/(a+b)
= [(a^2 - b^2)/ab][ab/a + b]
=(a^2 - b^2) / (a+b)=a -b

Answer 5

alright thanks guys!

Answer 6

All the best outcastlilgurl

Answer 7

isnt a-a^2=a(1-a), not a^2+ab-a^2

Answer 8

it is a^2 over a+b, not a - a^2 over a+b

Answer 9

Ohhhhh i see, i did a-a^2 all over b. gotcha

Answer 10

Is the answer a-b?

Answer 11

(a/b - b/a)=\[(a ^{2}-b ^{2})/ab\]
that would be the first product

Answer 12

\[a-a ^{2}/(a+b)=(a ^{2}+ab-a ^{2})/(a+b)\] is the second product.

Answer 13

Now multiply them:
First factor of the product: Second factor of the product\[(a ^{2}-b ^{2})/ab \times(a ^{2}+ab-a ^{2})/(a+b)\]
Simplifying\[[(a+b)(a-b)]/ab \times ab/(a+b)\]
Further simplifying:\[a-b\]
remaining terms cancel out