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We need to get a common denominator in the numerator
portion.
So we're going to have A to the highest exponent, so a ^2.
So the first term is going to get multiplied top and bottom by
an A.
So we get two a / a ^2 -, 3 / a ^2.
So if we combine that, we get two a -, 3 / a ^2.
Looking at the bottom, we want A to the highest exponent, so a
cubed.
So we have 2 / a ^3 plus seven a ^2 / a ^3 because we had to
multiply the top and the bottom by a ^2, so we get 2 plus seven
a ^2 / a ^3.
We're going to leave the numerator alone, two a - 3 / a
^2 and we're going to take the reciprocal of the denominator.
So times a ^3 / 2 + 7 A squared, the two a - 3 have nothing in
common other than A1, and the 2 + 7 A squared have nothing in
common other than A1.
So now it's all a monomial, and the only thing we can do is we
can reduce the a cubed over the a ^2.
If I have a ^3 / a ^2, it's a single A on top being multiplied
by that two a -, 3 / 2 + 7 A squared.