a^2+2ab+8^2/(x-2)^2-x^2+4x-4= eching

$$\frac { a ^ { 2 } + 2 a b + 8 ^ { 2 } } { ( x - 2 ) ^ { 2 } } - x ^ { 2 } + 4 x - 4 =$$

Baholash

$$\frac{-\left(x-2\right)^{4}+2ab+a^{2}+64}{\left(x-2\right)^{2}}$$

Qisqa yechim qadamlari

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$\frac{a^{2}+2ab+64}{\left(x-2\right)^{2}}-x^{2}+4x-4$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -x^{2}+4x-4 ni \frac{\left(x-2\right)^{2}}{\left(x-2\right)^{2}} marotabaga ko'paytirish.

$$\frac{a^{2}+2ab+64}{\left(x-2\right)^{2}}+\frac{\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}}{\left(x-2\right)^{2}}$$

\frac{a^{2}+2ab+64}{\left(x-2\right)^{2}} va \frac{\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}}{\left(x-2\right)^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{a^{2}+2ab+64+\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}}{\left(x-2\right)^{2}}$$

a^{2}+2ab+64+\left(-x^{2}+4x-4\right)\left(x-2\right)^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{a^{2}+2ab+64-x^{4}+4x^{3}-4x^{2}+4x^{3}-16x^{2}+16x-4x^{2}+16x-16}{\left(x-2\right)^{2}}$$

a^{2}+2ab+64-x^{4}+4x^{3}-4x^{2}+4x^{3}-16x^{2}+16x-4x^{2}+16x-16 kabi iboralarga o‘xshab birlashtiring.

$$\frac{a^{2}+2ab-24x^{2}+48-x^{4}+8x^{3}+32x}{\left(x-2\right)^{2}}$$

\left(x-2\right)^{2} ni kengaytirish.

$$\frac{a^{2}+2ab-24x^{2}+48-x^{4}+8x^{3}+32x}{x^{2}-4x+4}$$

Kengaytirish

$$\frac{48+a^{2}+2ab+32x-24x^{2}+8x^{3}-x^{4}}{\left(x-2\right)^{2}}$$

Qisqa yechim qadamlari

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$\frac{a^{2}+2ab+64}{\left(x-2\right)^{2}}-x^{2}+4x-4$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -x^{2}+4x-4 ni \frac{\left(x-2\right)^{2}}{\left(x-2\right)^{2}} marotabaga ko'paytirish.

$$\frac{a^{2}+2ab+64}{\left(x-2\right)^{2}}+\frac{\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}}{\left(x-2\right)^{2}}$$

\frac{a^{2}+2ab+64}{\left(x-2\right)^{2}} va \frac{\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}}{\left(x-2\right)^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{a^{2}+2ab+64+\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}}{\left(x-2\right)^{2}}$$

a^{2}+2ab+64+\left(-x^{2}+4x-4\right)\left(x-2\right)^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{a^{2}+2ab+64-x^{4}+4x^{3}-4x^{2}+4x^{3}-16x^{2}+16x-4x^{2}+16x-16}{\left(x-2\right)^{2}}$$

a^{2}+2ab+64-x^{4}+4x^{3}-4x^{2}+4x^{3}-16x^{2}+16x-4x^{2}+16x-16 kabi iboralarga o‘xshab birlashtiring.

$$\frac{a^{2}+2ab-24x^{2}+48-x^{4}+8x^{3}+32x}{\left(x-2\right)^{2}}$$

\left(x-2\right)^{2} ni kengaytirish.

$$\frac{a^{2}+2ab-24x^{2}+48-x^{4}+8x^{3}+32x}{x^{2}-4x+4}$$