Lösung 2.1:7c

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We multiply the top and bottom of the first term by \displaystyle a+1, so that both terms then have the same denominator,

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Because both terms in the numerator contain the factor \displaystyle ax, we take out that factor, obtaining

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and see that the answer cannot be simplified any further.

Note: It is only factors in the numerator and denominator that can cancel each other out, not individual terms. Hence, the following "cancellation" is wrong

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