Question

Скоратите дробь
3x^2 + 7x-6 / 4-9x^2

Answer 1

$\frac{3 x^{2} +7x-6}{4-9 x^{2} } =[3 x^{2} +7x-6=3(x+3)(x- \frac{4}{6})=3(x+3)(x- \frac{2}{3})= \\ =(x+3)(3x- 2)]=\frac{(x+3)(3x- 2)}{(2-3x)(2+3x)} =- \frac{x+3}{2+3x}$