(5+2y)(y-3)-(5-2y)^2 eching

$$( 5 + 2 y ) ( y - 3 ) - ( 5 - 2 y ) ^ { 2 }$$

Baholash

$$-2y^{2}+19y-40$$

Yechim qadamlari

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

$$-y-15+2y^{2}-\left(5-2y\right)^{2}$$

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(5-2y\right)^{2} kengaytirilishi uchun ishlating.

$$-y-15+2y^{2}-\left(25-20y+4y^{2}\right)$$

25-20y+4y^{2} teskarisini topish uchun har birining teskarisini toping.

$$-y-15+2y^{2}-25+20y-4y^{2}$$

-40 olish uchun -15 dan 25 ni ayirish.

$$-y-40+2y^{2}+20y-4y^{2}$$

19y ni olish uchun -y va 20y ni birlashtirish.

$$19y-40+2y^{2}-4y^{2}$$

-2y^{2} ni olish uchun 2y^{2} va -4y^{2} ni birlashtirish.

$$19y-40-2y^{2}$$

Kengaytirish

$$-2y^{2}+19y-40$$

Yechim qadamlari

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

$$-y-15+2y^{2}-\left(5-2y\right)^{2}$$

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(5-2y\right)^{2} kengaytirilishi uchun ishlating.

$$-y-15+2y^{2}-\left(25-20y+4y^{2}\right)$$

25-20y+4y^{2} teskarisini topish uchun har birining teskarisini toping.

$$-y-15+2y^{2}-25+20y-4y^{2}$$

-40 olish uchun -15 dan 25 ni ayirish.

$$-y-40+2y^{2}+20y-4y^{2}$$

19y ni olish uchun -y va 20y ni birlashtirish.

$$19y-40+2y^{2}-4y^{2}$$

-2y^{2} ni olish uchun 2y^{2} va -4y^{2} ni birlashtirish.

$$19y-40-2y^{2}$$