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

$$16 ( x - 1 ) ^ { 2 } - ( x + 2 ) ^ { 2 }$$

Baholash

$$3\left(x-2\right)\left(5x-2\right)$$

Yechim qadamlari

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

$$16\left(x^{2}-2x+1\right)-\left(x+2\right)^{2}$$

16 ga x^{2}-2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$16x^{2}-32x+16-\left(x+2\right)^{2}$$

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

$$16x^{2}-32x+16-\left(x^{2}+4x+4\right)$$

x^{2}+4x+4 teskarisini topish uchun har birining teskarisini toping.

$$16x^{2}-32x+16-x^{2}-4x-4$$

15x^{2} ni olish uchun 16x^{2} va -x^{2} ni birlashtirish.

$$15x^{2}-32x+16-4x-4$$

-36x ni olish uchun -32x va -4x ni birlashtirish.

$$15x^{2}-36x+16-4$$

12 olish uchun 16 dan 4 ni ayirish.

$$15x^{2}-36x+12$$

Kengaytirish

$$15x^{2}-36x+12$$

Yechim qadamlari

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

$$16\left(x^{2}-2x+1\right)-\left(x+2\right)^{2}$$

16 ga x^{2}-2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$16x^{2}-32x+16-\left(x+2\right)^{2}$$

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

$$16x^{2}-32x+16-\left(x^{2}+4x+4\right)$$

x^{2}+4x+4 teskarisini topish uchun har birining teskarisini toping.

$$16x^{2}-32x+16-x^{2}-4x-4$$

15x^{2} ni olish uchun 16x^{2} va -x^{2} ni birlashtirish.

$$15x^{2}-32x+16-4x-4$$

-36x ni olish uchun -32x va -4x ni birlashtirish.

$$15x^{2}-36x+16-4$$

12 olish uchun 16 dan 4 ni ayirish.

$$15x^{2}-36x+12$$