4-p/36-p^2+p+3/p-6 eching

$$\frac { 4 - p } { 36 - p ^ { 2 } } + \frac { p + 3 } { p - 6 }$$

Baholash

$$\frac{p^{2}+10p+14}{p^{2}-36}$$

Qisqa yechim qadamlari

Faktor: 36-p^{2}.

$$\frac{4-p}{\left(p-6\right)\left(-p-6\right)}+\frac{p+3}{p-6}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(p-6\right)\left(-p-6\right) va p-6 ning eng kichik umumiy karralisi \left(p-6\right)\left(-p-6\right). \frac{p+3}{p-6} ni \frac{-p-6}{-p-6} marotabaga ko'paytirish.

$$\frac{4-p}{\left(p-6\right)\left(-p-6\right)}+\frac{\left(p+3\right)\left(-p-6\right)}{\left(p-6\right)\left(-p-6\right)}$$

\frac{4-p}{\left(p-6\right)\left(-p-6\right)} va \frac{\left(p+3\right)\left(-p-6\right)}{\left(p-6\right)\left(-p-6\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{4-p+\left(p+3\right)\left(-p-6\right)}{\left(p-6\right)\left(-p-6\right)}$$

4-p+\left(p+3\right)\left(-p-6\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{4-p-p^{2}-6p-3p-18}{\left(p-6\right)\left(-p-6\right)}$$

4-p-p^{2}-6p-3p-18 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-14-10p-p^{2}}{\left(p-6\right)\left(-p-6\right)}$$

\left(p-6\right)\left(-p-6\right) ni kengaytirish.

$$\frac{-14-10p-p^{2}}{-p^{2}+36}$$

Kengaytirish

$$\frac{p^{2}+10p+14}{p^{2}-36}$$

Qisqa yechim qadamlari

Faktor: 36-p^{2}.

$$\frac{4-p}{\left(p-6\right)\left(-p-6\right)}+\frac{p+3}{p-6}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(p-6\right)\left(-p-6\right) va p-6 ning eng kichik umumiy karralisi \left(p-6\right)\left(-p-6\right). \frac{p+3}{p-6} ni \frac{-p-6}{-p-6} marotabaga ko'paytirish.

$$\frac{4-p}{\left(p-6\right)\left(-p-6\right)}+\frac{\left(p+3\right)\left(-p-6\right)}{\left(p-6\right)\left(-p-6\right)}$$

\frac{4-p}{\left(p-6\right)\left(-p-6\right)} va \frac{\left(p+3\right)\left(-p-6\right)}{\left(p-6\right)\left(-p-6\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{4-p+\left(p+3\right)\left(-p-6\right)}{\left(p-6\right)\left(-p-6\right)}$$

4-p+\left(p+3\right)\left(-p-6\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{4-p-p^{2}-6p-3p-18}{\left(p-6\right)\left(-p-6\right)}$$

4-p-p^{2}-6p-3p-18 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-14-10p-p^{2}}{\left(p-6\right)\left(-p-6\right)}$$

\left(p-6\right)\left(-p-6\right) ni kengaytirish.

$$\frac{-14-10p-p^{2}}{-p^{2}+36}$$