4x*(x+6)^2-3x^2 eching

$$4 x \cdot ( x + 6 ) ^ { 2 } - 3 x ^ { 2 }$$

Baholash

$$x\left(4x^{2}+45x+144\right)$$

Yechim qadamlari

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+6\right)^{2} kengaytirilishi uchun ishlating.

$$4x\left(x^{2}+12x+36\right)-3x^{2}$$

4x ga x^{2}+12x+36 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x^{3}+48x^{2}+144x-3x^{2}$$

45x^{2} ni olish uchun 48x^{2} va -3x^{2} ni birlashtirish.

$$4x^{3}+45x^{2}+144x$$

Kengaytirish

$$4x^{3}+45x^{2}+144x$$

Yechim qadamlari

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+6\right)^{2} kengaytirilishi uchun ishlating.

$$4x\left(x^{2}+12x+36\right)-3x^{2}$$

4x ga x^{2}+12x+36 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x^{3}+48x^{2}+144x-3x^{2}$$

45x^{2} ni olish uchun 48x^{2} va -3x^{2} ni birlashtirish.

$$4x^{3}+45x^{2}+144x$$