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9a^{2}+6a+1-\left(a+6\right)^{2}
\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(3a+1\right)^{2} kengaytirilishi uchun ishlating.
9a^{2}+6a+1-\left(a^{2}+12a+36\right)
\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(a+6\right)^{2} kengaytirilishi uchun ishlating.
9a^{2}+6a+1-a^{2}-12a-36
a^{2}+12a+36 teskarisini topish uchun har birining teskarisini toping.
8a^{2}+6a+1-12a-36
8a^{2} ni olish uchun 9a^{2} va -a^{2} ni birlashtirish.
8a^{2}-6a+1-36
-6a ni olish uchun 6a va -12a ni birlashtirish.
8a^{2}-6a-35
-35 olish uchun 1 dan 36 ni ayirish.
9a^{2}+6a+1-\left(a+6\right)^{2}
\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(3a+1\right)^{2} kengaytirilishi uchun ishlating.
9a^{2}+6a+1-\left(a^{2}+12a+36\right)
\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(a+6\right)^{2} kengaytirilishi uchun ishlating.
9a^{2}+6a+1-a^{2}-12a-36
a^{2}+12a+36 teskarisini topish uchun har birining teskarisini toping.
8a^{2}+6a+1-12a-36
8a^{2} ni olish uchun 9a^{2} va -a^{2} ni birlashtirish.
8a^{2}-6a+1-36
-6a ni olish uchun 6a va -12a ni birlashtirish.
8a^{2}-6a-35
-35 olish uchun 1 dan 36 ni ayirish.