(a+3b-1)(a+3b+1)-(a+3b)^2-2 eching

$$( a + 3 b - 1 ) ( a + 3 b + 1 ) - ( a + 3 b ) ^ { 2 } - 2$$

Baholash

$$-3$$

Yechim qadamlari

Hisoblang: \left(a+3b-1\right)\left(a+3b+1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}, bu yerda a=a+3b va b=1. 1 kvadratini chiqarish.

$$\left(a+3b\right)^{2}-1-\left(a+3b\right)^{2}-2$$

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

$$a^{2}+6ab+9b^{2}-1-\left(a+3b\right)^{2}-2$$

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

$$a^{2}+6ab+9b^{2}-1-\left(a^{2}+6ab+9b^{2}\right)-2$$

a^{2}+6ab+9b^{2} teskarisini topish uchun har birining teskarisini toping.

$$a^{2}+6ab+9b^{2}-1-a^{2}-6ab-9b^{2}-2$$

0 ni olish uchun a^{2} va -a^{2} ni birlashtirish.

$$6ab+9b^{2}-1-6ab-9b^{2}-2$$

0 ni olish uchun 6ab va -6ab ni birlashtirish.

$$9b^{2}-1-9b^{2}-2$$

0 ni olish uchun 9b^{2} va -9b^{2} ni birlashtirish.

$$-1-2$$

-3 olish uchun -1 dan 2 ni ayirish.

$$-3$$

Omil

$$-3$$