1/a-b-3/a+b/frac{2{b-a}+4/b+a} eching

$$\frac { \frac { 1 } { a - b } - \frac { 3 } { a + b } } { \frac { 2 } { b - a } + \frac { 4 } { b + a } }$$

Baholash

$$-\frac{2b-a}{3b-a}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a-b va a+b ning eng kichik umumiy karralisi \left(a+b\right)\left(a-b\right). \frac{1}{a-b} ni \frac{a+b}{a+b} marotabaga ko'paytirish. \frac{3}{a+b} ni \frac{a-b}{a-b} marotabaga ko'paytirish.

$$\frac{\frac{a+b}{\left(a+b\right)\left(a-b\right)}-\frac{3\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

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

$$\frac{\frac{a+b-3\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

a+b-3\left(a-b\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{a+b-3a+3b}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

a+b-3a+3b kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. b-a va b+a ning eng kichik umumiy karralisi \left(a+b\right)\left(-a+b\right). \frac{2}{b-a} ni \frac{a+b}{a+b} marotabaga ko'paytirish. \frac{4}{b+a} ni \frac{-a+b}{-a+b} marotabaga ko'paytirish.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2\left(a+b\right)}{\left(a+b\right)\left(-a+b\right)}+\frac{4\left(-a+b\right)}{\left(a+b\right)\left(-a+b\right)}}$$

\frac{2\left(a+b\right)}{\left(a+b\right)\left(-a+b\right)} va \frac{4\left(-a+b\right)}{\left(a+b\right)\left(-a+b\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2\left(a+b\right)+4\left(-a+b\right)}{\left(a+b\right)\left(-a+b\right)}}$$

2\left(a+b\right)+4\left(-a+b\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2a+2b-4a+4b}{\left(a+b\right)\left(-a+b\right)}}$$

2a+2b-4a+4b kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{-2a+6b}{\left(a+b\right)\left(-a+b\right)}}$$

\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)} ni \frac{-2a+6b}{\left(a+b\right)\left(-a+b\right)} ga bo'lish \frac{-2a+4b}{\left(a+b\right)\left(a-b\right)} ga k'paytirish \frac{-2a+6b}{\left(a+b\right)\left(-a+b\right)} ga qaytarish.

$$\frac{\left(-2a+4b\right)\left(a+b\right)\left(-a+b\right)}{\left(a+b\right)\left(a-b\right)\left(-2a+6b\right)}$$

-a+b mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-\left(a+b\right)\left(a-b\right)\left(-2a+4b\right)}{\left(a+b\right)\left(a-b\right)\left(-2a+6b\right)}$$

Surat va maxrajdagi ikkala \left(a+b\right)\left(a-b\right) ni qisqartiring.

$$\frac{-\left(-2a+4b\right)}{-2a+6b}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala 2 ni qisqartiring.

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

Ifodani kengaytiring.

$$\frac{a-2b}{-a+3b}$$

Kengaytirish

$$-\frac{2b-a}{3b-a}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a-b va a+b ning eng kichik umumiy karralisi \left(a+b\right)\left(a-b\right). \frac{1}{a-b} ni \frac{a+b}{a+b} marotabaga ko'paytirish. \frac{3}{a+b} ni \frac{a-b}{a-b} marotabaga ko'paytirish.

$$\frac{\frac{a+b}{\left(a+b\right)\left(a-b\right)}-\frac{3\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

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

$$\frac{\frac{a+b-3\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

a+b-3\left(a-b\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{a+b-3a+3b}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

a+b-3a+3b kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. b-a va b+a ning eng kichik umumiy karralisi \left(a+b\right)\left(-a+b\right). \frac{2}{b-a} ni \frac{a+b}{a+b} marotabaga ko'paytirish. \frac{4}{b+a} ni \frac{-a+b}{-a+b} marotabaga ko'paytirish.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2\left(a+b\right)}{\left(a+b\right)\left(-a+b\right)}+\frac{4\left(-a+b\right)}{\left(a+b\right)\left(-a+b\right)}}$$

\frac{2\left(a+b\right)}{\left(a+b\right)\left(-a+b\right)} va \frac{4\left(-a+b\right)}{\left(a+b\right)\left(-a+b\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2\left(a+b\right)+4\left(-a+b\right)}{\left(a+b\right)\left(-a+b\right)}}$$

2\left(a+b\right)+4\left(-a+b\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2a+2b-4a+4b}{\left(a+b\right)\left(-a+b\right)}}$$

2a+2b-4a+4b kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{-2a+6b}{\left(a+b\right)\left(-a+b\right)}}$$

\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)} ni \frac{-2a+6b}{\left(a+b\right)\left(-a+b\right)} ga bo'lish \frac{-2a+4b}{\left(a+b\right)\left(a-b\right)} ga k'paytirish \frac{-2a+6b}{\left(a+b\right)\left(-a+b\right)} ga qaytarish.

$$\frac{\left(-2a+4b\right)\left(a+b\right)\left(-a+b\right)}{\left(a+b\right)\left(a-b\right)\left(-2a+6b\right)}$$

-a+b mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-\left(a+b\right)\left(a-b\right)\left(-2a+4b\right)}{\left(a+b\right)\left(a-b\right)\left(-2a+6b\right)}$$

Surat va maxrajdagi ikkala \left(a+b\right)\left(a-b\right) ni qisqartiring.

$$\frac{-\left(-2a+4b\right)}{-2a+6b}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala 2 ni qisqartiring.

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

Ifodani kengaytiring.

$$\frac{a-2b}{-a+3b}$$