2*(2/4x^{5}-8/19x^{4}+3/41x^3)-(5/3x^5+frac{3}{76}x^4-frac{5}{2}x^3) eching

$$2 \cdot ( \frac { 2 } { 4 } x ^ { 5 } - \frac { 8 } { 19 } x ^ { 4 } + \frac { 3 } { 41 } x ^ { 3 } ) - ( \frac { 5 } { 3 } x ^ { 5 } + \frac { 3 } { 76 } x ^ { 4 } - \frac { 5 } { 2 } x ^ { 3 } )$$

Baholash

$$-\frac{2x^{5}}{3}-\frac{67x^{4}}{76}+\frac{217x^{3}}{82}$$

Yechim qadamlari

\frac{2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$2\left(\frac{1}{2}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3}\right)-\left(\frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}\right)$$

2 ga \frac{1}{2}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{5}-\frac{16}{19}x^{4}+\frac{6}{41}x^{3}-\left(\frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}\right)$$

\frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3} teskarisini topish uchun har birining teskarisini toping.

$$x^{5}-\frac{16}{19}x^{4}+\frac{6}{41}x^{3}-\frac{5}{3}x^{5}-\frac{3}{76}x^{4}+\frac{5}{2}x^{3}$$

-\frac{2}{3}x^{5} ni olish uchun x^{5} va -\frac{5}{3}x^{5} ni birlashtirish.

$$-\frac{2}{3}x^{5}-\frac{16}{19}x^{4}+\frac{6}{41}x^{3}-\frac{3}{76}x^{4}+\frac{5}{2}x^{3}$$

-\frac{67}{76}x^{4} ni olish uchun -\frac{16}{19}x^{4} va -\frac{3}{76}x^{4} ni birlashtirish.

$$-\frac{2}{3}x^{5}-\frac{67}{76}x^{4}+\frac{6}{41}x^{3}+\frac{5}{2}x^{3}$$

\frac{217}{82}x^{3} ni olish uchun \frac{6}{41}x^{3} va \frac{5}{2}x^{3} ni birlashtirish.

$$-\frac{2}{3}x^{5}-\frac{67}{76}x^{4}+\frac{217}{82}x^{3}$$

Kengaytirish

$$-\frac{2x^{5}}{3}-\frac{67x^{4}}{76}+\frac{217x^{3}}{82}$$

Yechim qadamlari

\frac{2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$2\left(\frac{1}{2}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3}\right)-\left(\frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}\right)$$

2 ga \frac{1}{2}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{5}-\frac{16}{19}x^{4}+\frac{6}{41}x^{3}-\left(\frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}\right)$$

\frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3} teskarisini topish uchun har birining teskarisini toping.

$$x^{5}-\frac{16}{19}x^{4}+\frac{6}{41}x^{3}-\frac{5}{3}x^{5}-\frac{3}{76}x^{4}+\frac{5}{2}x^{3}$$

-\frac{2}{3}x^{5} ni olish uchun x^{5} va -\frac{5}{3}x^{5} ni birlashtirish.

$$-\frac{2}{3}x^{5}-\frac{16}{19}x^{4}+\frac{6}{41}x^{3}-\frac{3}{76}x^{4}+\frac{5}{2}x^{3}$$

-\frac{67}{76}x^{4} ni olish uchun -\frac{16}{19}x^{4} va -\frac{3}{76}x^{4} ni birlashtirish.

$$-\frac{2}{3}x^{5}-\frac{67}{76}x^{4}+\frac{6}{41}x^{3}+\frac{5}{2}x^{3}$$

\frac{217}{82}x^{3} ni olish uchun \frac{6}{41}x^{3} va \frac{5}{2}x^{3} ni birlashtirish.

$$-\frac{2}{3}x^{5}-\frac{67}{76}x^{4}+\frac{217}{82}x^{3}$$