(5/3a+1/4b)*(3/5a-1/2b)-a^2+frac{2}{3}a^2+frac{1}{4}b^2= eching

$$( \frac { 5 } { 3 } a + \frac { 1 } { 4 } b ) \cdot ( \frac { 3 } { 5 } a - \frac { 1 } { 2 } b ) - a ^ { 2 } + \frac { 2 } { 3 } a ^ { 2 } + \frac { 1 } { 4 } b ^ { 2 } =$$

Baholash

$$-\frac{41ab}{60}+\frac{2a^{2}}{3}+\frac{b^{2}}{8}$$

Yechim qadamlari

\frac{5}{3}a+\frac{1}{4}b ga \frac{3}{5}a-\frac{1}{2}b ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$a^{2}-\frac{41}{60}ab-\frac{1}{8}b^{2}-a^{2}+\frac{2}{3}a^{2}+\frac{1}{4}b^{2}$$

0 ni olish uchun a^{2} va -a^{2} ni birlashtirish.

$$-\frac{41}{60}ab-\frac{1}{8}b^{2}+\frac{2}{3}a^{2}+\frac{1}{4}b^{2}$$

\frac{1}{8}b^{2} ni olish uchun -\frac{1}{8}b^{2} va \frac{1}{4}b^{2} ni birlashtirish.

$$-\frac{41}{60}ab+\frac{1}{8}b^{2}+\frac{2}{3}a^{2}$$

Kengaytirish

$$-\frac{41ab}{60}+\frac{2a^{2}}{3}+\frac{b^{2}}{8}$$

Yechim qadamlari

\frac{5}{3}a+\frac{1}{4}b ga \frac{3}{5}a-\frac{1}{2}b ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$a^{2}-\frac{41}{60}ab-\frac{1}{8}b^{2}-a^{2}+\frac{2}{3}a^{2}+\frac{1}{4}b^{2}$$

0 ni olish uchun a^{2} va -a^{2} ni birlashtirish.

$$-\frac{41}{60}ab-\frac{1}{8}b^{2}+\frac{2}{3}a^{2}+\frac{1}{4}b^{2}$$

\frac{1}{8}b^{2} ni olish uchun -\frac{1}{8}b^{2} va \frac{1}{4}b^{2} ni birlashtirish.

$$-\frac{41}{60}ab+\frac{1}{8}b^{2}+\frac{2}{3}a^{2}$$