[(-84)xdiv(-7)x]x-(-9)x*(-5)+(-3)x eching

$$[ ( - 84 ) x \div ( - 7 ) x ] x - ( - 9 ) x \cdot ( - 5 ) + ( - 3 ) x$$

Baholash

$$12x\left(x^{2}-4\right)$$

Yechim qadamlari

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$\frac{-84x}{-7}x^{2}-\left(-9x\left(-5\right)\right)-3x$$

12x ni olish uchun -84x ni -7 ga bo‘ling.

$$12xx^{2}-\left(-9x\left(-5\right)\right)-3x$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.

$$12x^{3}-\left(-9x\left(-5\right)\right)-3x$$

45 hosil qilish uchun -9 va -5 ni ko'paytirish.

$$12x^{3}-45x-3x$$

-48x ni olish uchun -45x va -3x ni birlashtirish.

$$12x^{3}-48x$$

Omil

$$12x\left(x-2\right)\left(x+2\right)$$

Yechim qadamlari

3 omili.

$$3\left(4xxx-15x-x\right)$$

Hisoblang: 4x^{3}-15x-x. x omili.

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

Hisoblang: 4x^{2}-15-1. Oʻxshash shartlarni koʻpaytirish va birlashtirish.

$$4x^{2}-16$$

Hisoblang: 4x^{2}-16. 4 omili.

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

Hisoblang: x^{2}-4. x^{2}-4 ni x^{2}-2^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(x-2\right)\left(x+2\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$12\left(x+2\right)\left(x-2\right)x$$

Qisqartirish.

$$12x\left(x-2\right)\left(x+2\right)$$