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a^{2}-4b^{2}+a^{3}-8b^{3}-\left(a^{2}-4ab+4b^{2}\right)
\left(p-q\right)^{2}=p^{2}-2pq+q^{2} binom teoremasini \left(a-2b\right)^{2} kengaytirilishi uchun ishlating.
a^{2}-4b^{2}+a^{3}-8b^{3}-a^{2}+4ab-4b^{2}
a^{2}-4ab+4b^{2} teskarisini topish uchun har birining teskarisini toping.
-4b^{2}+a^{3}-8b^{3}+4ab-4b^{2}
0 ni olish uchun a^{2} va -a^{2} ni birlashtirish.
-8b^{2}+a^{3}-8b^{3}+4ab
-8b^{2} ni olish uchun -4b^{2} va -4b^{2} ni birlashtirish.
a^{2}-4b^{2}+a^{3}-8b^{3}-\left(a^{2}-4ab+4b^{2}\right)
\left(p-q\right)^{2}=p^{2}-2pq+q^{2} binom teoremasini \left(a-2b\right)^{2} kengaytirilishi uchun ishlating.
a^{2}-4b^{2}+a^{3}-8b^{3}-a^{2}+4ab-4b^{2}
a^{2}-4ab+4b^{2} teskarisini topish uchun har birining teskarisini toping.
-4b^{2}+a^{3}-8b^{3}+4ab-4b^{2}
0 ni olish uchun a^{2} va -a^{2} ni birlashtirish.
-8b^{2}+a^{3}-8b^{3}+4ab
-8b^{2} ni olish uchun -4b^{2} va -4b^{2} ni birlashtirish.