x(1/4a-3/2x)-5/7a(2/10x-frac{7}{3}a)-frac{10}{9}(-frac{9}{20}x^2+frac{3}{2}a^2)+frac{5}{42}ax= eching

$$x ( \frac { 1 } { 4 } a - \frac { 3 } { 2 } x ) - \frac { 5 } { 7 } a ( \frac { 2 } { 10 } x - \frac { 7 } { 3 } a ) - \frac { 10 } { 9 } ( - \frac { 9 } { 20 } x ^ { 2 } + \frac { 3 } { 2 } a ^ { 2 } ) + \frac { 5 } { 42 } a x =$$

Baholash

$$\frac{19ax}{84}-x^{2}$$

Yechim qadamlari

x ga \frac{1}{4}a-\frac{3}{2}x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{5}{7}a\left(\frac{2}{10}x-\frac{7}{3}a\right)-\frac{10}{9}\left(-\frac{9}{20}x^{2}+\frac{3}{2}a^{2}\right)+\frac{5}{42}ax$$

\frac{2}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{5}{7}a\left(\frac{1}{5}x-\frac{7}{3}a\right)-\frac{10}{9}\left(-\frac{9}{20}x^{2}+\frac{3}{2}a^{2}\right)+\frac{5}{42}ax$$

-\frac{10}{9} ga -\frac{9}{20}x^{2}+\frac{3}{2}a^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{5}{7}a\left(\frac{1}{5}x-\frac{7}{3}a\right)+\frac{1}{2}x^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

-\frac{5}{7}a ga \frac{1}{5}x-\frac{7}{3}a ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{1}{7}ax+\frac{5}{3}a^{2}+\frac{1}{2}x^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

\frac{3}{28}xa ni olish uchun \frac{1}{4}xa va -\frac{1}{7}ax ni birlashtirish.

$$\frac{3}{28}xa-\frac{3}{2}x^{2}+\frac{5}{3}a^{2}+\frac{1}{2}x^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

-x^{2} ni olish uchun -\frac{3}{2}x^{2} va \frac{1}{2}x^{2} ni birlashtirish.

$$\frac{3}{28}xa-x^{2}+\frac{5}{3}a^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

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

$$\frac{3}{28}xa-x^{2}+\frac{5}{42}ax$$

\frac{19}{84}xa ni olish uchun \frac{3}{28}xa va \frac{5}{42}ax ni birlashtirish.

$$\frac{19}{84}xa-x^{2}$$

Kengaytirish

$$\frac{19ax}{84}-x^{2}$$

Yechim qadamlari

x ga \frac{1}{4}a-\frac{3}{2}x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{5}{7}a\left(\frac{2}{10}x-\frac{7}{3}a\right)-\frac{10}{9}\left(-\frac{9}{20}x^{2}+\frac{3}{2}a^{2}\right)+\frac{5}{42}ax$$

\frac{2}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{5}{7}a\left(\frac{1}{5}x-\frac{7}{3}a\right)-\frac{10}{9}\left(-\frac{9}{20}x^{2}+\frac{3}{2}a^{2}\right)+\frac{5}{42}ax$$

-\frac{10}{9} ga -\frac{9}{20}x^{2}+\frac{3}{2}a^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{5}{7}a\left(\frac{1}{5}x-\frac{7}{3}a\right)+\frac{1}{2}x^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

-\frac{5}{7}a ga \frac{1}{5}x-\frac{7}{3}a ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{4}xa-\frac{3}{2}x^{2}-\frac{1}{7}ax+\frac{5}{3}a^{2}+\frac{1}{2}x^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

\frac{3}{28}xa ni olish uchun \frac{1}{4}xa va -\frac{1}{7}ax ni birlashtirish.

$$\frac{3}{28}xa-\frac{3}{2}x^{2}+\frac{5}{3}a^{2}+\frac{1}{2}x^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

-x^{2} ni olish uchun -\frac{3}{2}x^{2} va \frac{1}{2}x^{2} ni birlashtirish.

$$\frac{3}{28}xa-x^{2}+\frac{5}{3}a^{2}-\frac{5}{3}a^{2}+\frac{5}{42}ax$$

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

$$\frac{3}{28}xa-x^{2}+\frac{5}{42}ax$$

\frac{19}{84}xa ni olish uchun \frac{3}{28}xa va \frac{5}{42}ax ni birlashtirish.

$$\frac{19}{84}xa-x^{2}$$