4k+23/k^2-15k-k^2+6k/k^2-15k eching

$$\frac { 4 k + 23 } { k ^ { 2 } - 15 k } - \frac { k ^ { 2 } + 6 k } { k ^ { 2 } - 15 k }$$

Baholash

$$\frac{23-2k-k^{2}}{k\left(k-15\right)}$$

Qisqa yechim qadamlari

\frac{k^{2}+6k}{k^{2}-15k} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{4k+23}{k^{2}-15k}-\frac{k\left(k+6\right)}{k\left(k-15\right)}$$

Surat va maxrajdagi ikkala k ni qisqartiring.

$$\frac{4k+23}{k^{2}-15k}-\frac{k+6}{k-15}$$

Faktor: k^{2}-15k.

$$\frac{4k+23}{k\left(k-15\right)}-\frac{k+6}{k-15}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. k\left(k-15\right) va k-15 ning eng kichik umumiy karralisi k\left(k-15\right). \frac{k+6}{k-15} ni \frac{k}{k} marotabaga ko'paytirish.

$$\frac{4k+23}{k\left(k-15\right)}-\frac{\left(k+6\right)k}{k\left(k-15\right)}$$

\frac{4k+23}{k\left(k-15\right)} va \frac{\left(k+6\right)k}{k\left(k-15\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{4k+23-\left(k+6\right)k}{k\left(k-15\right)}$$

4k+23-\left(k+6\right)k ichidagi ko‘paytirishlarni bajaring.

$$\frac{4k+23-k^{2}-6k}{k\left(k-15\right)}$$

4k+23-k^{2}-6k kabi iboralarga o‘xshab birlashtiring.

$$\frac{-2k+23-k^{2}}{k\left(k-15\right)}$$

k\left(k-15\right) ni kengaytirish.

$$\frac{-2k+23-k^{2}}{k^{2}-15k}$$

Kengaytirish

$$\frac{23-2k-k^{2}}{k\left(k-15\right)}$$

Qisqa yechim qadamlari

\frac{k^{2}+6k}{k^{2}-15k} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{4k+23}{k^{2}-15k}-\frac{k\left(k+6\right)}{k\left(k-15\right)}$$

Surat va maxrajdagi ikkala k ni qisqartiring.

$$\frac{4k+23}{k^{2}-15k}-\frac{k+6}{k-15}$$

Faktor: k^{2}-15k.

$$\frac{4k+23}{k\left(k-15\right)}-\frac{k+6}{k-15}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. k\left(k-15\right) va k-15 ning eng kichik umumiy karralisi k\left(k-15\right). \frac{k+6}{k-15} ni \frac{k}{k} marotabaga ko'paytirish.

$$\frac{4k+23}{k\left(k-15\right)}-\frac{\left(k+6\right)k}{k\left(k-15\right)}$$

\frac{4k+23}{k\left(k-15\right)} va \frac{\left(k+6\right)k}{k\left(k-15\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{4k+23-\left(k+6\right)k}{k\left(k-15\right)}$$

4k+23-\left(k+6\right)k ichidagi ko‘paytirishlarni bajaring.

$$\frac{4k+23-k^{2}-6k}{k\left(k-15\right)}$$

4k+23-k^{2}-6k kabi iboralarga o‘xshab birlashtiring.

$$\frac{-2k+23-k^{2}}{k\left(k-15\right)}$$

k\left(k-15\right) ni kengaytirish.

$$\frac{-2k+23-k^{2}}{k^{2}-15k}$$