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doesn't really mean multiply
it means "factor and cancel"

did you factor both denominators?

\[\frac{x-5}{(x-5)(x+2)}\times \frac{x+2}{(x-3)(x+4)}\]

Yes i got (x-5)(x+2) and (x-3)(x+4)

Would the answer be (1)/(x-3)(x+4)

|dw:1353290039728:dw|

yes