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5\left(x^{2}+2x+1\right)+3\left(x+1\right)-5
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+1\right)^{2} kengaytirilishi uchun ishlating.
5x^{2}+10x+5+3\left(x+1\right)-5
5 ga x^{2}+2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5x^{2}+10x+5+3x+3-5
3 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5x^{2}+13x+5+3-5
13x ni olish uchun 10x va 3x ni birlashtirish.
5x^{2}+13x+8-5
8 olish uchun 5 va 3'ni qo'shing.
5x^{2}+13x+3
3 olish uchun 8 dan 5 ni ayirish.
5\left(x^{2}+2x+1\right)+3\left(x+1\right)-5
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+1\right)^{2} kengaytirilishi uchun ishlating.
5x^{2}+10x+5+3\left(x+1\right)-5
5 ga x^{2}+2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5x^{2}+10x+5+3x+3-5
3 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5x^{2}+13x+5+3-5
13x ni olish uchun 10x va 3x ni birlashtirish.
5x^{2}+13x+8-5
8 olish uchun 5 va 3'ni qo'shing.
5x^{2}+13x+3
3 olish uchun 8 dan 5 ni ayirish.