Answer:
[tex]x^{2} -3x-\frac{9}{x^{2} }[/tex]
Step-by-step explanation:
[tex]x^{2} -9[/tex] ÷ [tex]x^{2} -3x[/tex]
To add or subtract expressions, expand them to make their denominators the same. Multiply [tex]x^{2} -3x[/tex] times [tex]\frac{x^{2} }{x^{2} }[/tex]
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[tex]\frac{(x^{2} -3x)x^{2} }{x^{2} } - \frac{9}{x^{2} }[/tex]
Since [tex]\frac{(x^{2} -3x)x^{2} }{x^{2} }[/tex] and [tex]\frac{9}{x^{2} }[/tex] have the same denominator, subtract them by subtracting their numerators.
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[tex]\frac{(x^{2} -3x)x^{2} -9}{x^{2} }[/tex]
Do the multiplications in [tex](x^{2} -3x)x^{2} -9[/tex]
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[tex]\frac{x^{4}-3x^{3}-9 }{x^{2} }[/tex]
