4s/(25s^2-9t^2)-s/(5s-3t) eching

$$\frac { 4 s } { ( 25 s ^ { 2 } - 9 t ^ { 2 } ) } - \frac { s } { ( 5 s - 3 t ) }$$

Baholash

$$\frac{s\left(4-3t-5s\right)}{25s^{2}-9t^{2}}$$

Qisqa yechim qadamlari

Faktor: 25s^{2}-9t^{2}.

$$\frac{4s}{\left(5s-3t\right)\left(5s+3t\right)}-\frac{s}{5s-3t}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(5s-3t\right)\left(5s+3t\right) va 5s-3t ning eng kichik umumiy karralisi \left(5s-3t\right)\left(5s+3t\right). \frac{s}{5s-3t} ni \frac{5s+3t}{5s+3t} marotabaga ko'paytirish.

$$\frac{4s}{\left(5s-3t\right)\left(5s+3t\right)}-\frac{s\left(5s+3t\right)}{\left(5s-3t\right)\left(5s+3t\right)}$$

\frac{4s}{\left(5s-3t\right)\left(5s+3t\right)} va \frac{s\left(5s+3t\right)}{\left(5s-3t\right)\left(5s+3t\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{4s-s\left(5s+3t\right)}{\left(5s-3t\right)\left(5s+3t\right)}$$

4s-s\left(5s+3t\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{4s-5s^{2}-3st}{\left(5s-3t\right)\left(5s+3t\right)}$$

\left(5s-3t\right)\left(5s+3t\right) ni kengaytirish.

$$\frac{4s-5s^{2}-3st}{25s^{2}-9t^{2}}$$

Omil

$$\frac{s\left(4-3t-5s\right)}{25s^{2}-9t^{2}}$$