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а)125a^3-8b^3
б)a^3+27b^3
в)x^6-a^6

a) 125a³-8b³=(5a)³-(2b)³=(5a-2b)((5a)²+5a×2b+(2b)²)=(5a-2b)(25a²+10ab+4b²)б) a³+27b³=a³+(3b)³=(a+3b)(a²-a×3b+(3b)²)=(a+3b)(a²-3ab+9b²)в) x^6-a^6=(x²)³-(a²)³=(x²-a²)((x²)²+x²a²+(a²)²)=(x²-a²)(x⁴+x²a²+a⁴)=(x-a)(x+a)(x⁴+x²a²+a⁴)

а)125a³-8b³ = (5а)³ - (2b)³ = (5а-2b)((5а)²+5a·2b+(2b)²) = = (5а-2b)(25а²+10ab+4b²)  б) a³+27b³ =  (а)³ + (3b)³ = (а+3b)(а²-a·3b+(3b)²) = = (а+3b)(а²-3ab+9b²)  в) x⁶-a⁶ =  (x²)³ - (a²)³ = (x²-a²)((x²)²+x²·a²+(a²)²) = = (x-a)(x+a)(x⁴+a²x²+a⁴)