a^2/4-ab+b^2 eching

$$\frac { a ^ { 2 } } { 4 } - a b + b ^ { 2 }$$

Baholash

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

Qisqa yechim qadamlari

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

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

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

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

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

$$\frac{a^{2}-4ab+4b^{2}}{4}$$

Omil

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

Yechim qadamlari

\frac{1}{4} omili.

$$\frac{a^{2}-4ab+4b^{2}}{4}$$

Hisoblang: a^{2}-4ab+4b^{2}. Kvadrat formuladan foydalaning, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, bu yerda p=a va q=2b.

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

Toʻliq ajratilgan ifodani qaytadan yozing.

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