When simplifying algebraic expressions you must remember that fractions with numbers on the top and the bottom can be simplified by cancelling down.

Remember, whatever you do on the top, you must do on the bottom

e.g. 3/9 = 1/3

What we have done here effectively is divide by 3 on the top, and divide by 3 on the bottom.

The same can be done for fractions that have unknowns on the top and on the bottom.

e.g. 4a2/a5 = 4/a3

Remember a2 = aa, a5 = aaaaa, so a2 cancels out on the top, and on the bottom.

For the above example we must simply minus the indices.

There are several kinds of fraction that are considered to be more complex to simplify, for example:

(3x2-16x-35)/(9x2-25) = (3x + 5)(x - 7) / ( 3x + 5)(3x - 5) = (x-7)/(3x-5)

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