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x^{2}\left(2x+1\right)-\left(2x+1\right)
2x^{3}+x^{2}-2x-1=\left(2x^{3}+x^{2}\right)+\left(-2x-1\right) misolini guruhlang hamda x^{2} ni birinchi va -1 ni ikkinchi guruhdan ajrating.
\left(2x+1\right)\left(x^{2}-1\right)
Distributiv funktsiyasidan foydalangan holda 2x+1 umumiy terminini chiqaring.
\left(x-1\right)\left(x+1\right)
Hisoblang: x^{2}-1. x^{2}-1 ni x^{2}-1^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(x-1\right)\left(x+1\right)\left(2x+1\right)
Toʻliq ajratilgan ifodani qaytadan yozing.