(-1/2x+37)(5x+50) eching

$$( - \frac { 1 } { 2 } x + 37 ) ( 5 x + 50 )$$

Baholash

$$\frac{5\left(74-x\right)\left(x+10\right)}{2}$$

Yechim qadamlari

-\frac{1}{2}x+37 ifodaning har bir elementini 5x+50 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$-\frac{1}{2}x\times 5x-\frac{1}{2}x\times 50+185x+1850$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$-\frac{1}{2}x^{2}\times 5-\frac{1}{2}x\times 50+185x+1850$$

-\frac{1}{2}\times 5 ni yagona kasrga aylantiring.

$$\frac{-5}{2}x^{2}-\frac{1}{2}x\times 50+185x+1850$$

\frac{-5}{2} kasri manfiy belgini olib tashlash bilan -\frac{5}{2} sifatida qayta yozilishi mumkin.

$$-\frac{5}{2}x^{2}-\frac{1}{2}x\times 50+185x+1850$$

-\frac{1}{2}\times 50 ni yagona kasrga aylantiring.

$$-\frac{5}{2}x^{2}+\frac{-50}{2}x+185x+1850$$

-25 ni olish uchun -50 ni 2 ga bo‘ling.

$$-\frac{5}{2}x^{2}-25x+185x+1850$$

160x ni olish uchun -25x va 185x ni birlashtirish.

$$-\frac{5}{2}x^{2}+160x+1850$$

Kengaytirish

$$-\frac{5x^{2}}{2}+160x+1850$$

Yechim qadamlari

-\frac{1}{2}x+37 ifodaning har bir elementini 5x+50 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$-\frac{1}{2}x\times 5x-\frac{1}{2}x\times 50+185x+1850$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$-\frac{1}{2}x^{2}\times 5-\frac{1}{2}x\times 50+185x+1850$$

-\frac{1}{2}\times 5 ni yagona kasrga aylantiring.

$$\frac{-5}{2}x^{2}-\frac{1}{2}x\times 50+185x+1850$$

\frac{-5}{2} kasri manfiy belgini olib tashlash bilan -\frac{5}{2} sifatida qayta yozilishi mumkin.

$$-\frac{5}{2}x^{2}-\frac{1}{2}x\times 50+185x+1850$$

-\frac{1}{2}\times 50 ni yagona kasrga aylantiring.

$$-\frac{5}{2}x^{2}+\frac{-50}{2}x+185x+1850$$

-25 ni olish uchun -50 ni 2 ga bo‘ling.

$$-\frac{5}{2}x^{2}-25x+185x+1850$$

160x ni olish uchun -25x va 185x ni birlashtirish.

$$-\frac{5}{2}x^{2}+160x+1850$$