4p^3/5+7-3p^3/10-11= eching

$$\frac { 4 p ^ { 3 } } { 5 } + 7 - \frac { 3 p ^ { 3 } } { 10 } - 11 =$$

Baholash

$$\frac{p^{3}}{2}-4$$

Qisqa yechim qadamlari

-4 olish uchun 7 dan 11 ni ayirish.

$$\frac{4p^{3}}{5}-4-\frac{3p^{3}}{10}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 4 ni \frac{5}{5} marotabaga ko'paytirish.

$$\frac{4p^{3}}{5}-\frac{4\times 5}{5}-\frac{3p^{3}}{10}$$

\frac{4p^{3}}{5} va \frac{4\times 5}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{4p^{3}-4\times 5}{5}-\frac{3p^{3}}{10}$$

4p^{3}-4\times 5 ichidagi ko‘paytirishlarni bajaring.

$$\frac{4p^{3}-20}{5}-\frac{3p^{3}}{10}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5 va 10 ning eng kichik umumiy karralisi 10. \frac{4p^{3}-20}{5} ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{2\left(4p^{3}-20\right)}{10}-\frac{3p^{3}}{10}$$

\frac{2\left(4p^{3}-20\right)}{10} va \frac{3p^{3}}{10} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2\left(4p^{3}-20\right)-3p^{3}}{10}$$

2\left(4p^{3}-20\right)-3p^{3} ichidagi ko‘paytirishlarni bajaring.

$$\frac{8p^{3}-40-3p^{3}}{10}$$

8p^{3}-40-3p^{3} kabi iboralarga o‘xshab birlashtiring.

$$\frac{5p^{3}-40}{10}$$

Omil

$$\frac{\left(p-2\right)\left(p^{2}+2p+4\right)}{2}$$

Yechim qadamlari

\frac{1}{10} omili.

$$\frac{5p^{3}-40}{10}$$

Hisoblang: 8p^{3}+70-3p^{3}-110. Oʻxshash shartlarni koʻpaytirish va birlashtirish.

$$5p^{3}-40$$

Hisoblang: 5p^{3}-40. 5 omili.

$$5\left(p^{3}-8\right)$$

Hisoblang: p^{3}-8. p^{3}-8 ni p^{3}-2^{3} sifatida qaytadan yozish. Kublarning farqini ushbu formula bilan hisoblash mumkin: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right).

$$\left(p-2\right)\left(p^{2}+2p+4\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$\frac{\left(p-2\right)\left(p^{2}+2p+4\right)}{2}$$