-75000*1/(300000*x+450000*(1-x))+135000*1/(840000*x+570000*(1-x)) если x=-1/4 (упростите выражение)

$$frac{135000}{840000 x + 570000 left(- x + 1right)} – frac{75000}{300000 x + 450000 left(- x + 1right)}$$

$$frac{135000}{840000 x + 570000 left(- x + 1right)} – frac{75000}{300000 x + 450000 left(- x + 1right)}$$

-75000/(300000*(-1/4) + 450000*(1 – (-1/4))) + 135000/(840000*(-1/4) + 570000*(1 – (-1/4)))

$$frac{135000}{840000 (-1/4) + 570000 left(- (-1/4) + 1right)} – frac{75000}{300000 (-1/4) + 450000 left(- (-1/4) + 1right)}$$

-75000/(300000*(-1)/4 + 450000*(1 – (-1)/4)) + 135000/(840000*(-1)/4 + 570000*(1 – (-1)/4))

$$- frac{75000}{frac{-300000}{4} + 450000 left(- frac{-1}{4} + 1right)} + frac{135000}{frac{-840000}{4} + 570000 left(- frac{-1}{4} + 1right)}$$

100/871

$$frac{100}{871}$$

$$frac{135000}{270000 x + 570000} – frac{75000}{- 150000 x + 450000}$$

135000.0/(570000.0 + 270000.0*x) – 75000.0/(450000.0 – 150000.0*x)

$$frac{40500000000 x – 18000000000}{left(150000 x – 450000right) left(270000 x + 570000right)}$$

$$frac{- 9 x + 4}{left(- x + 3right) left(9 x + 19right)}$$

4 – 9*x
——————
(3 – x)*(19 + 9*x)

$$frac{- 9 x + 4}{left(- x + 3right) left(9 x + 19right)}$$

-4 + 9*x
——————-
(-3 + x)*(19 + 9*x)

$$frac{9 x – 4}{left(x – 3right) left(9 x + 19right)}$$

-4 + 9*x
—————-
2
-57 – 8*x + 9*x

$$frac{9 x – 4}{9 x^{2} – 8 x – 57}$$