When you have to divide by a fraction, you first invert the divisor,
and then multiply the fractions. I'm sure you know that, and you've
done it with numbers a hundred times. But you got scared when
you saw the 'x's in this one.
Invert the divisor, and then multiply the fractions.
That makes the problem say
1 / (x-10) times ( x² - 9x - 10) / 9x
I'm pretty sure you can handle that.
Do you need me to tell you how to multiply two fractions ?
Oh gee whiz ! I just looked at it some more.
The second numerator ... the long one ... is (x-10)(x+1).
So the (x-10) can cancel out of the top and bottom, and
the product of the two fractions becomes
(x+1) / (9x) .
without even writing anything down.
I didn't want to go all the way and give you the answer.
But once the snowball started rolling, it wouldn't stop.
