45a^3/14ax^2-49x^4/18a^4= eching

$$\frac { 45 a ^ { 3 } } { 14 a x ^ { 2 } } - \frac { 49 x ^ { 4 } } { 18 a ^ { 4 } } =$$

Baholash

$$\frac{45\times \left(\frac{a}{x}\right)^{2}}{14}-\frac{49\times \left(\frac{x}{a}\right)^{4}}{18}$$

Qisqa yechim qadamlari

Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{45a^{2}}{14x^{2}}-\frac{49x^{4}}{18a^{4}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 14x^{2} va 18a^{4} ning eng kichik umumiy karralisi 126x^{2}a^{4}. \frac{45a^{2}}{14x^{2}} ni \frac{9a^{4}}{9a^{4}} marotabaga ko'paytirish. \frac{49x^{4}}{18a^{4}} ni \frac{7x^{2}}{7x^{2}} marotabaga ko'paytirish.

$$\frac{45a^{2}\times 9a^{4}}{126x^{2}a^{4}}-\frac{49x^{4}\times 7x^{2}}{126x^{2}a^{4}}$$

\frac{45a^{2}\times 9a^{4}}{126x^{2}a^{4}} va \frac{49x^{4}\times 7x^{2}}{126x^{2}a^{4}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{45a^{2}\times 9a^{4}-49x^{4}\times 7x^{2}}{126x^{2}a^{4}}$$

45a^{2}\times 9a^{4}-49x^{4}\times 7x^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{405a^{6}-343x^{6}}{126x^{2}a^{4}}$$

Omil

$$\frac{405a^{6}-343x^{6}}{126x^{2}a^{4}}$$