(x-1)^2(x+9)^2 eching

$$( x - 1 ) ^ { 2 } ( x + 9 ) ^ { 2 }$$

Baholash

$$\left(\left(x-1\right)\left(x+9\right)\right)^{2}$$

Yechim qadamlari

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-1\right)^{2} kengaytirilishi uchun ishlating.

$$\left(x^{2}-2x+1\right)\left(x+9\right)^{2}$$

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+9\right)^{2} kengaytirilishi uchun ishlating.

$$\left(x^{2}-2x+1\right)\left(x^{2}+18x+81\right)$$

x^{2}-2x+1 ga x^{2}+18x+81 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$x^{4}+16x^{3}+46x^{2}-144x+81$$

Kengaytirish

$$x^{4}+16x^{3}+46x^{2}-144x+81$$

Yechim qadamlari

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-1\right)^{2} kengaytirilishi uchun ishlating.

$$\left(x^{2}-2x+1\right)\left(x+9\right)^{2}$$

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+9\right)^{2} kengaytirilishi uchun ishlating.

$$\left(x^{2}-2x+1\right)\left(x^{2}+18x+81\right)$$

x^{2}-2x+1 ga x^{2}+18x+81 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$x^{4}+16x^{3}+46x^{2}-144x+81$$