化简 (3x-1)^3+(x-4)3^4

解答

化简

(3 x - 1)^{3} + (x - 4) 3^{4}

27 x^{3} - 27 x^{2} + 90 x - 325

求解步骤

(3 x - 1)^{3} + (x - 4) \cdot 3^{4}

3^{4} = 81

= (3 x - 1)^{3} + (x - 4) \cdot 81

= (3 x - 1)^{3} + 81 (x - 4)

展开

(3 x - 1)^{3} : 27 x^{3} - 27 x^{2} + 9 x - 1

= 27 x^{3} - 27 x^{2} + 9 x - 1 + 81 (x - 4)

展开

81 (x - 4) : 81 x - 324

= 27 x^{3} - 27 x^{2} + 9 x - 1 + 81 x - 324

对同类项分组

= 27 x^{3} - 27 x^{2} + 9 x + 81 x - 1 - 324

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