15/2a^2-1/3a-1+1/2a-1/4a+5-4+frac{1}{6}a eching

$$\frac{ 15 }{ 2 } { a }^{ 2 } - \frac{ 1 }{ 3 } a-1+ \frac{ 1 }{ 2 } a- \frac{ 1 }{ 4 } a+5-4+ \frac{ 1 }{ 6 } a$$

Baholash

$$\frac{15a^{2}}{2}+\frac{a}{12}$$

Yechim qadamlari

\frac{1}{6}a ni olish uchun -\frac{1}{3}a va \frac{1}{2}a ni birlashtirish.

$$\frac{15}{2}a^{2}+\frac{1}{6}a-1-\frac{1}{4}a+5-4+\frac{1}{6}a$$

-\frac{1}{12}a ni olish uchun \frac{1}{6}a va -\frac{1}{4}a ni birlashtirish.

$$\frac{15}{2}a^{2}-\frac{1}{12}a-1+5-4+\frac{1}{6}a$$

4 olish uchun -1 va 5'ni qo'shing.

$$\frac{15}{2}a^{2}-\frac{1}{12}a+4-4+\frac{1}{6}a$$

0 olish uchun 4 dan 4 ni ayirish.

$$\frac{15}{2}a^{2}-\frac{1}{12}a+\frac{1}{6}a$$

\frac{1}{12}a ni olish uchun -\frac{1}{12}a va \frac{1}{6}a ni birlashtirish.

$$\frac{15}{2}a^{2}+\frac{1}{12}a$$

Omil

$$\frac{a\left(90a+1\right)}{12}$$

Yechim qadamlari

\frac{1}{12} omili.

$$\frac{90a^{2}+a}{12}$$

Hisoblang: 90a^{2}-4a-12+6a-3a+60-48+2a. Oʻxshash shartlarni koʻpaytirish va birlashtirish.

$$90a^{2}+a$$

Hisoblang: 90a^{2}+a. a omili.

$$a\left(90a+1\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$\frac{a\left(90a+1\right)}{12}$$