(2-3x)(3-5x)-left(2-3xright)^2 eching

$$(2-3x)(3-5x)- { \left(2-3x \right) }^{ 2 }$$

Baholash

$$\left(1-2x\right)\left(2-3x\right)$$

Yechim qadamlari

2-3x ga 3-5x ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$6-19x+15x^{2}-\left(2-3x\right)^{2}$$

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(2-3x\right)^{2} kengaytirilishi uchun ishlating.

$$6-19x+15x^{2}-\left(4-12x+9x^{2}\right)$$

4-12x+9x^{2} teskarisini topish uchun har birining teskarisini toping.

$$6-19x+15x^{2}-4+12x-9x^{2}$$

2 olish uchun 6 dan 4 ni ayirish.

$$2-19x+15x^{2}+12x-9x^{2}$$

-7x ni olish uchun -19x va 12x ni birlashtirish.

$$2-7x+15x^{2}-9x^{2}$$

6x^{2} ni olish uchun 15x^{2} va -9x^{2} ni birlashtirish.

$$2-7x+6x^{2}$$

Kengaytirish

$$6x^{2}-7x+2$$

Yechim qadamlari

2-3x ga 3-5x ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$6-19x+15x^{2}-\left(2-3x\right)^{2}$$

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(2-3x\right)^{2} kengaytirilishi uchun ishlating.

$$6-19x+15x^{2}-\left(4-12x+9x^{2}\right)$$

4-12x+9x^{2} teskarisini topish uchun har birining teskarisini toping.

$$6-19x+15x^{2}-4+12x-9x^{2}$$

2 olish uchun 6 dan 4 ni ayirish.

$$2-19x+15x^{2}+12x-9x^{2}$$

-7x ni olish uchun -19x va 12x ni birlashtirish.

$$2-7x+15x^{2}-9x^{2}$$

6x^{2} ni olish uchun 15x^{2} va -9x^{2} ni birlashtirish.

$$2-7x+6x^{2}$$