{left(16+8x+2x^2/2+xright)}^2-4 eching

$${ \left( \frac{ 16+8x+2 { x }^{ 2 } }{ 2+x } \right) }^{ 2 } -4$$

Baholash

$$\frac{4\left(x^{2}+3x+6\right)\left(x^{2}+5x+10\right)}{\left(x+2\right)^{2}}$$

Qisqa yechim qadamlari

\frac{16+8x+2x^{2}}{2+x}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(16+8x+2x^{2}\right)^{2}}{\left(2+x\right)^{2}}-4$$

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

$$\frac{\left(16+8x+2x^{2}\right)^{2}}{\left(2+x\right)^{2}}-\frac{4\left(2+x\right)^{2}}{\left(2+x\right)^{2}}$$

\frac{\left(16+8x+2x^{2}\right)^{2}}{\left(2+x\right)^{2}} va \frac{4\left(2+x\right)^{2}}{\left(2+x\right)^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\left(16+8x+2x^{2}\right)^{2}-4\left(2+x\right)^{2}}{\left(2+x\right)^{2}}$$

\left(16+8x+2x^{2}\right)^{2}-4\left(2+x\right)^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{256+128x+32x^{2}+128x+64x^{2}+16x^{3}+32x^{2}+16x^{3}+4x^{4}-16-16x-4x^{2}}{\left(2+x\right)^{2}}$$

256+128x+32x^{2}+128x+64x^{2}+16x^{3}+32x^{2}+16x^{3}+4x^{4}-16-16x-4x^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{240+240x+124x^{2}+32x^{3}+4x^{4}}{\left(2+x\right)^{2}}$$

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

$$\frac{240+240x+124x^{2}+32x^{3}+4x^{4}}{x^{2}+4x+4}$$

Kengaytirish

$$\frac{4\left(x^{4}+8x^{3}+31x^{2}+60x+60\right)}{\left(x+2\right)^{2}}$$

Qisqa yechim qadamlari

\frac{16+8x+2x^{2}}{2+x}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(16+8x+2x^{2}\right)^{2}}{\left(2+x\right)^{2}}-4$$

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

$$\frac{\left(16+8x+2x^{2}\right)^{2}}{\left(2+x\right)^{2}}-\frac{4\left(2+x\right)^{2}}{\left(2+x\right)^{2}}$$

\frac{\left(16+8x+2x^{2}\right)^{2}}{\left(2+x\right)^{2}} va \frac{4\left(2+x\right)^{2}}{\left(2+x\right)^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\left(16+8x+2x^{2}\right)^{2}-4\left(2+x\right)^{2}}{\left(2+x\right)^{2}}$$

\left(16+8x+2x^{2}\right)^{2}-4\left(2+x\right)^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{256+128x+32x^{2}+128x+64x^{2}+16x^{3}+32x^{2}+16x^{3}+4x^{4}-16-16x-4x^{2}}{\left(2+x\right)^{2}}$$

256+128x+32x^{2}+128x+64x^{2}+16x^{3}+32x^{2}+16x^{3}+4x^{4}-16-16x-4x^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{240+240x+124x^{2}+32x^{3}+4x^{4}}{\left(2+x\right)^{2}}$$

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

$$\frac{240+240x+124x^{2}+32x^{3}+4x^{4}}{x^{2}+4x+4}$$