r(r+s)-2r^2+rs-s(s-3r) eching

$$r(r+s)-2r^2+rs-s(s-3r)$$

Baholash

$$-r^{2}+5rs-s^{2}$$

Yechim qadamlari

r ga r+s ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$r^{2}+rs-2r^{2}+rs-s\left(s-3r\right)$$

-r^{2} ni olish uchun r^{2} va -2r^{2} ni birlashtirish.

$$-r^{2}+rs+rs-s\left(s-3r\right)$$

2rs ni olish uchun rs va rs ni birlashtirish.

$$-r^{2}+2rs-s\left(s-3r\right)$$

s ga s-3r ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-r^{2}+2rs-\left(s^{2}-3sr\right)$$

s^{2}-3sr teskarisini topish uchun har birining teskarisini toping.

$$-r^{2}+2rs-s^{2}+3sr$$

5rs ni olish uchun 2rs va 3sr ni birlashtirish.

$$-r^{2}+5rs-s^{2}$$

Kengaytirish

$$-r^{2}+5rs-s^{2}$$

Yechim qadamlari

r ga r+s ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$r^{2}+rs-2r^{2}+rs-s\left(s-3r\right)$$

-r^{2} ni olish uchun r^{2} va -2r^{2} ni birlashtirish.

$$-r^{2}+rs+rs-s\left(s-3r\right)$$

2rs ni olish uchun rs va rs ni birlashtirish.

$$-r^{2}+2rs-s\left(s-3r\right)$$

s ga s-3r ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-r^{2}+2rs-\left(s^{2}-3sr\right)$$

s^{2}-3sr teskarisini topish uchun har birining teskarisini toping.

$$-r^{2}+2rs-s^{2}+3sr$$

5rs ni olish uchun 2rs va 3sr ni birlashtirish.

$$-r^{2}+5rs-s^{2}$$