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

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

Baholash

$$50a^{2}-2a+8$$

Yechim qadamlari

\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(5a+3\right)^{2} kengaytirilishi uchun ishlating.

$$25a^{2}+30a+9+\left(5a-3\right)^{2}-2\left(a+5\right)$$

\left(p-q\right)^{2}=p^{2}-2pq+q^{2} binom teoremasini \left(5a-3\right)^{2} kengaytirilishi uchun ishlating.

$$25a^{2}+30a+9+25a^{2}-30a+9-2\left(a+5\right)$$

50a^{2} ni olish uchun 25a^{2} va 25a^{2} ni birlashtirish.

$$50a^{2}+30a+9-30a+9-2\left(a+5\right)$$

0 ni olish uchun 30a va -30a ni birlashtirish.

$$50a^{2}+9+9-2\left(a+5\right)$$

18 olish uchun 9 va 9'ni qo'shing.

$$50a^{2}+18-2\left(a+5\right)$$

-2 ga a+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$50a^{2}+18-2a-10$$

8 olish uchun 18 dan 10 ni ayirish.

$$50a^{2}+8-2a$$

Kengaytirish

$$50a^{2}-2a+8$$

Yechim qadamlari

\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(5a+3\right)^{2} kengaytirilishi uchun ishlating.

$$25a^{2}+30a+9+\left(5a-3\right)^{2}-2\left(a+5\right)$$

\left(p-q\right)^{2}=p^{2}-2pq+q^{2} binom teoremasini \left(5a-3\right)^{2} kengaytirilishi uchun ishlating.

$$25a^{2}+30a+9+25a^{2}-30a+9-2\left(a+5\right)$$

50a^{2} ni olish uchun 25a^{2} va 25a^{2} ni birlashtirish.

$$50a^{2}+30a+9-30a+9-2\left(a+5\right)$$

0 ni olish uchun 30a va -30a ni birlashtirish.

$$50a^{2}+9+9-2\left(a+5\right)$$

18 olish uchun 9 va 9'ni qo'shing.

$$50a^{2}+18-2\left(a+5\right)$$

-2 ga a+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$50a^{2}+18-2a-10$$

8 olish uchun 18 dan 10 ni ayirish.

$$50a^{2}+8-2a$$