展开 (2x-1)^3cosh(4x)

解答

展开

(2 x - 1)^{3} cosh (4 x)

8 x^{3} cosh (4 x) - 12 x^{2} cosh (4 x) + 6 x cosh (4 x) - cosh (4 x)

求解步骤

(2 x - 1)^{3} cosh (4 x)

= cosh (4 x) (2 x - 1)^{3}

展开

(2 x - 1)^{3} : 8 x^{3} - 12 x^{2} + 6 x - 1

= cosh (4 x) (8 x^{3} - 12 x^{2} + 6 x - 1)

打开括号

= cosh (4 x) \cdot 8 x^{3} + cosh (4 x) (- 12 x^{2}) + cosh (4 x) \cdot 6 x + cosh (4 x) (- 1)

化简

cosh (4 x) \cdot 8 x^{3} + cosh (4 x) (- 12 x^{2}) + cosh (4 x) \cdot 6 x + cosh (4 x) (- 1) : 8 x^{3} cosh (4 x) - 12 x^{2} cosh (4 x) + 6 x cosh (4 x) - cosh (4 x)

= 8 x^{3} cosh (4 x) - 12 x^{2} cosh (4 x) + 6 x cosh (4 x) - cosh (4 x)

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