Answer:
[tex]\frac{x-2}{x+9}[/tex]
Step-by-step explanation:
Factorizing Fraction 1
- [tex]\frac{x+10}{x^{2}+7x-18 }[/tex]
- [tex]\frac{x+10}{(x+9)(x-2)}[/tex]
Factorizing Fraction 2
- [tex]\frac{3x^{2} -12x+12}{3x+30}[/tex]
- [tex]\frac{x^{2} -4x+4}{x+10}[/tex]
- [tex]\frac{(x-2)^{2} }{x+10}[/tex]
Now, multiply the fractions :
- [tex]\frac{x+10}{(x+9)(x-2)}[/tex] × [tex]\frac{(x-2)^{2} }{x+10}[/tex]
- [tex]\frac{x-2}{x+9}[/tex]
