(a+b/a-b-a-b/a+b)*a^2-b^2/16ab eching

$$( \frac { a + b } { a - b } - \frac { a - b } { a + b } ) \cdot \frac { a ^ { 2 } - b ^ { 2 } } { 16 a b }$$

Baholash

$$\frac{1}{4}=0,25$$

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{a+b}{a-b} ni \frac{a+b}{a+b} marotabaga ko'paytirish. \frac{a-b}{a+b} ni \frac{a-b}{a-b} marotabaga ko'paytirish.

$$\left(\frac{\left(a+b\right)\left(a+b\right)}{\left(a+b\right)\left(a-b\right)}-\frac{\left(a-b\right)\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}\right)\times \frac{a^{2}-b^{2}}{16ab}$$

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

$$\frac{\left(a+b\right)\left(a+b\right)-\left(a-b\right)\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}\times \frac{a^{2}-b^{2}}{16ab}$$

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

$$\frac{a^{2}+ab+ab+b^{2}-a^{2}+ab+ab-b^{2}}{\left(a+b\right)\left(a-b\right)}\times \frac{a^{2}-b^{2}}{16ab}$$

a^{2}+ab+ab+b^{2}-a^{2}+ab+ab-b^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{4ab}{\left(a+b\right)\left(a-b\right)}\times \frac{a^{2}-b^{2}}{16ab}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4ab}{\left(a+b\right)\left(a-b\right)} ni \frac{a^{2}-b^{2}}{16ab} ga ko‘paytiring.

$$\frac{4ab\left(a^{2}-b^{2}\right)}{\left(a+b\right)\left(a-b\right)\times 16ab}$$

Surat va maxrajdagi ikkala 4ab ni qisqartiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

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

$$\frac{1}{4}$$

Omil

$$\frac{1}{2 ^ {2}} = 0,25$$