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4x^{2}-12x+9-5\left(2x-3\right)\left(x+1\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(2x-3\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}-12x+9+\left(-10x+15\right)\left(x+1\right)
-5 ga 2x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4x^{2}-12x+9-10x^{2}+5x+15
-10x+15 ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
-6x^{2}-12x+9+5x+15
-6x^{2} ni olish uchun 4x^{2} va -10x^{2} ni birlashtirish.
-6x^{2}-7x+9+15
-7x ni olish uchun -12x va 5x ni birlashtirish.
-6x^{2}-7x+24
24 olish uchun 9 va 15'ni qo'shing.
4x^{2}-12x+9-5\left(2x-3\right)\left(x+1\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(2x-3\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}-12x+9+\left(-10x+15\right)\left(x+1\right)
-5 ga 2x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4x^{2}-12x+9-10x^{2}+5x+15
-10x+15 ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
-6x^{2}-12x+9+5x+15
-6x^{2} ni olish uchun 4x^{2} va -10x^{2} ni birlashtirish.
-6x^{2}-7x+9+15
-7x ni olish uchun -12x va 5x ni birlashtirish.
-6x^{2}-7x+24
24 olish uchun 9 va 15'ni qo'shing.