2x/5x+bx+3y/sy+by= eching

$$\frac { 2 x } { 5 x + b x } + \frac { 3 y } { s y + b y } =$$

Baholash

$$\frac{2s+5b+15}{\left(b+5\right)\left(s+b\right)}$$

Qisqa yechim qadamlari

\frac{2x}{5x+bx} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2x}{x\left(b+5\right)}+\frac{3y}{sy+by}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{2}{b+5}+\frac{3y}{sy+by}$$

\frac{3y}{sy+by} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2}{b+5}+\frac{3y}{y\left(b+s\right)}$$

Surat va maxrajdagi ikkala y ni qisqartiring.

$$\frac{2}{b+5}+\frac{3}{s+b}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. b+5 va s+b ning eng kichik umumiy karralisi \left(b+5\right)\left(s+b\right). \frac{2}{b+5} ni \frac{s+b}{s+b} marotabaga ko'paytirish. \frac{3}{s+b} ni \frac{b+5}{b+5} marotabaga ko'paytirish.

$$\frac{2\left(s+b\right)}{\left(b+5\right)\left(s+b\right)}+\frac{3\left(b+5\right)}{\left(b+5\right)\left(s+b\right)}$$

\frac{2\left(s+b\right)}{\left(b+5\right)\left(s+b\right)} va \frac{3\left(b+5\right)}{\left(b+5\right)\left(s+b\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2\left(s+b\right)+3\left(b+5\right)}{\left(b+5\right)\left(s+b\right)}$$

2\left(s+b\right)+3\left(b+5\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{2s+2b+3b+15}{\left(b+5\right)\left(s+b\right)}$$

2s+2b+3b+15 kabi iboralarga o‘xshab birlashtiring.

$$\frac{2s+5b+15}{\left(b+5\right)\left(s+b\right)}$$

\left(b+5\right)\left(s+b\right) ni kengaytirish.

$$\frac{2s+5b+15}{bs+5s+b^{2}+5b}$$

s ga nisbatan hosilani topish

$$-\frac{3}{\left(s+b\right)^{2}}$$