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\left(x^{2}-2x+1\right)\left(x+2\right)\left(x^{2}+x+1\right)^{2}
\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+2\right)\left(x^{4}+2x^{3}+3x^{2}+2x+1\right)
x^{2}+x+1 kvadratini chiqarish.
\left(x^{3}-3x+2\right)\left(x^{4}+2x^{3}+3x^{2}+2x+1\right)
x^{2}-2x+1 ga x+2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
x^{7}+2x^{6}-2x^{4}-4x^{3}+x+2
x^{3}-3x+2 ga x^{4}+2x^{3}+3x^{2}+2x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
\left(x^{2}-2x+1\right)\left(x+2\right)\left(x^{2}+x+1\right)^{2}
\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+2\right)\left(x^{4}+2x^{3}+3x^{2}+2x+1\right)
x^{2}+x+1 kvadratini chiqarish.
\left(x^{3}-3x+2\right)\left(x^{4}+2x^{3}+3x^{2}+2x+1\right)
x^{2}-2x+1 ga x+2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
x^{7}+2x^{6}-2x^{4}-4x^{3}+x+2
x^{3}-3x+2 ga x^{4}+2x^{3}+3x^{2}+2x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.