-5/4a^2-3/2ab+1/2a^2+5ab-3a^2-1/2ab eching

$$- \frac { 5 } { 4 } a ^ { 2 } - \frac { 3 } { 2 } a b + \frac { 1 } { 2 } a ^ { 2 } + 5 a b - 3 a ^ { 2 } - \frac { 1 } { 2 } a b$$

Baholash

$$\frac{3a\left(4b-5a\right)}{4}$$

Yechim qadamlari

-\frac{3}{4}a^{2} ni olish uchun -\frac{5}{4}a^{2} va \frac{1}{2}a^{2} ni birlashtirish.

$$-\frac{3}{4}a^{2}-\frac{3}{2}ab+5ab-3a^{2}-\frac{1}{2}ab$$

\frac{7}{2}ab ni olish uchun -\frac{3}{2}ab va 5ab ni birlashtirish.

$$-\frac{3}{4}a^{2}+\frac{7}{2}ab-3a^{2}-\frac{1}{2}ab$$

-\frac{15}{4}a^{2} ni olish uchun -\frac{3}{4}a^{2} va -3a^{2} ni birlashtirish.

$$-\frac{15}{4}a^{2}+\frac{7}{2}ab-\frac{1}{2}ab$$

3ab ni olish uchun \frac{7}{2}ab va -\frac{1}{2}ab ni birlashtirish.

$$-\frac{15}{4}a^{2}+3ab$$

Omil

$$\frac{3a\left(4b-5a\right)}{4}$$

Yechim qadamlari

\frac{1}{4} omili.

$$\frac{-5a^{2}-6ab+2a^{2}+20ab-12a^{2}-2ab}{4}$$

Hisoblang: -5a^{2}-6ab+2a^{2}+20ab-12a^{2}-2ab. a omili.

$$a\left(-5a-6b+2a+20b-12a-2b\right)$$

Hisoblang: -5a-6b+2a+20b-12a-2b. Oʻxshash shartlarni koʻpaytirish va birlashtirish.

$$-15a+12b$$

Hisoblang: -15a+12b. 3 omili.

$$3\left(-5a+4b\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$\frac{3a\left(-5a+4b\right)}{4}$$