5x ÷ x² - 9 + 7 ÷ x + 3
Write the division as a fraction:
[tex]\frac{5x}{x^{2} }\\[/tex] - 9 + [tex]\frac{7}{x}[/tex] + 3
Simplify the expression:
[tex]\frac{5}{x}[/tex] - 9 + [tex]\frac{7}{x}[/tex] + 3
Calculate the sum:
[tex]\frac{5}{x}[/tex] - 6 + [tex]\frac{7}{x}[/tex]
Write all numerators above the common denominator:
[tex]\frac{5 - 6x + 7}{x}[/tex]
Add the numbers and you get the final answer:
[tex]\frac{12-6x}{x}[/tex]
