G(x)=3(x-4)^2(x^2+3) eching

$$G ( x ) = 3 ( x - 4 ) ^ { 2 } ( x ^ { 2 } + 3 )$$

Baholash

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

Yechim qadamlari

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-4\right)^{2} kengaytirilishi uchun ishlating.

$$3\left(x^{2}-8x+16\right)\left(x^{2}+3\right)$$

3 ga x^{2}-8x+16 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(3x^{2}-24x+48\right)\left(x^{2}+3\right)$$

3x^{2}-24x+48 ga x^{2}+3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$3x^{4}+57x^{2}-24x^{3}-72x+144$$

Kengaytirish

$$3x^{4}-24x^{3}+57x^{2}-72x+144$$

Yechim qadamlari

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-4\right)^{2} kengaytirilishi uchun ishlating.

$$3\left(x^{2}-8x+16\right)\left(x^{2}+3\right)$$

3 ga x^{2}-8x+16 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(3x^{2}-24x+48\right)\left(x^{2}+3\right)$$

3x^{2}-24x+48 ga x^{2}+3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$3x^{4}+57x^{2}-24x^{3}-72x+144$$