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faust18 [17]
4 years ago
10

Micah was asked to add the following expressions:

Mathematics
1 answer:
scZoUnD [109]4 years ago
3 0

Given expression: \frac{3x^2-x-9}{x^2+3x+2}+\frac{-2x^2+2x+5}{x^2+3x+2}


We need to add the given rational expressions.


First step: Combined like terms in the numerator and kept the common denominator.


\frac{3x^2-x-9-2x^2+2x+5}{x^2+3x+2} =\frac{x^2+x-4}{x^2+3x+2}


Second step they applied : Canceling the like term x^2 and got \frac{x-4}{3x+2}.

Note: We can't cancel like terms in top and bottom like this.

We can cancel out common factors in top an bottom.

<h3>Therefore, Micah did not add the expressions correctly.</h3>
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<em><u>let </u></em><em><u>the </u></em><em><u>ratio</u></em><em><u> be</u></em><em><u> in</u></em><em><u> </u></em><em><u>x </u></em>

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