5frac{27x^{10}-21x^9-12x^7-3x^4}{-3x^3} eching

$$5 \frac { 27 x ^ { 10 } - 21 x ^ { 9 } - 12 x ^ { 7 } - 3 x ^ { 4 } } { - 3 x ^ { 3 } }$$

Baholash

$$5x+20x^{4}+35x^{6}-45x^{7}$$

Qisqa yechim qadamlari

\frac{27x^{10}-21x^{9}-12x^{7}-3x^{4}}{-3x^{3}} ichida hali faktorlanmagan ifodalarni faktorlang.

$$5\times \frac{3x^{4}\left(9x^{6}-7x^{5}-4x^{3}-1\right)}{-3x^{3}}$$

Surat va maxrajdagi ikkala 3x^{3} ni qisqartiring.

$$5\times \frac{x\left(9x^{6}-7x^{5}-4x^{3}-1\right)}{-1}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi.

$$5\left(-x\left(9x^{6}-7x^{5}-4x^{3}-1\right)\right)$$

x ga 9x^{6}-7x^{5}-4x^{3}-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$5\left(-\left(9x^{7}-7x^{6}-4x^{4}-x\right)\right)$$

9x^{7}-7x^{6}-4x^{4}-x teskarisini topish uchun har birining teskarisini toping.

$$5\left(-9x^{7}+7x^{6}+4x^{4}+x\right)$$

5 ga -9x^{7}+7x^{6}+4x^{4}+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-45x^{7}+35x^{6}+20x^{4}+5x$$

Kengaytirish

$$5x+20x^{4}+35x^{6}-45x^{7}$$

Qisqa yechim qadamlari

\frac{27x^{10}-21x^{9}-12x^{7}-3x^{4}}{-3x^{3}} ichida hali faktorlanmagan ifodalarni faktorlang.

$$5\times \frac{3x^{4}\left(9x^{6}-7x^{5}-4x^{3}-1\right)}{-3x^{3}}$$

Surat va maxrajdagi ikkala 3x^{3} ni qisqartiring.

$$5\times \frac{x\left(9x^{6}-7x^{5}-4x^{3}-1\right)}{-1}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi.

$$5\left(-x\left(9x^{6}-7x^{5}-4x^{3}-1\right)\right)$$

x ga 9x^{6}-7x^{5}-4x^{3}-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$5\left(-\left(9x^{7}-7x^{6}-4x^{4}-x\right)\right)$$

9x^{7}-7x^{6}-4x^{4}-x teskarisini topish uchun har birining teskarisini toping.

$$5\left(-9x^{7}+7x^{6}+4x^{4}+x\right)$$

5 ga -9x^{7}+7x^{6}+4x^{4}+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-45x^{7}+35x^{6}+20x^{4}+5x$$