4a^2-12a= eching

$$4 a ^ { 2 } - 12 a =$$

Omil

$$4a\left(a-3\right)$$

Yechim qadamlari

4 omili.

$$4\left(a^{2}-3a\right)$$

Hisoblang: a^{2}-3a. a omili.

$$a\left(a-3\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$4a\left(a-3\right)$$

Kvadrat tenglamalaridan foydalanish qoidalari

Kvadrat koʻp tenglama bu orqali hisoblanadi: ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), bu yerda x_{1} va x_{2} ax^{2}+bx+c=0 kvadrat tenglamaning yechimlari.

$$4a^{2}-12a=0$$

ax^{2}+bx+c=0 shaklidagi barcha tenglamalarni kvadrat formulasi bilan yechish mumkin: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Kvadrat formula ikki yechmni taqdim qiladi, biri ± qo'shish bo'lganda, va ikkinchisi ayiruv bo'lganda.

$$a=\frac{-\left(-12\right)±\sqrt{\left(-12\right)^{2}}}{2\times 4}$$

\left(-12\right)^{2} ning kvadrat ildizini chiqarish.

$$a=\frac{-\left(-12\right)±12}{2\times 4}$$

-12 ning teskarisi 12 ga teng.

$$a=\frac{12±12}{2\times 4}$$

2 ni 4 marotabaga ko'paytirish.

$$a=\frac{12±12}{8}$$

a=\frac{12±12}{8} tenglamasini yeching, bunda ± musbat. 12 ni 12 ga qo'shish.

$$a=\frac{24}{8}$$

24 ni 8 ga bo'lish.

$$a=3$$

a=\frac{12±12}{8} tenglamasini yeching, bunda ± manfiy. 12 dan 12 ni ayirish.

$$a=\frac{0}{8}$$

0 ni 8 ga bo'lish.

$$a=0$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun 3 ga va x_{2} uchun 0 ga bo‘ling.

$$4a^{2}-12a=4\left(a-3\right)a$$

Baholash

$$4a\left(a-3\right)$$