1.6-bo'lim : Ratsional ifodalar
2. Quyidagi ratsional ifodani eng kichik hadlargacha qisqartiring.
\[\frac{{{x^2} + 6x + 9}}{{{x^2} - 9}}\]Yechim
Birinchidan, biz imkon qadar son va maxrajni ko'paytirishimiz kerak. Shunday qilib,
\[\frac{{{x^2} + 6x + 9}}{{{x^2} - 9}} = \frac{{{{\left( {x + 3} \right)}^2}}}{{\left( {x + 3} \right)\left( {x - 3} \right)}}\]2-qadam
Endi biz qilishimiz kerak bo'lgan yagona narsa, ratsional ifodani eng past shartlarga qisqartirish uchun barcha omillarni bekor qilishdir.
\[\frac{{{x^2} + 6x + 9}}{{{x^2} - 9}} = \require{bbox} \bbox[2pt,border:1px solid black]{{\frac{{x + 3}}{{x - 3}}}}\]