展开 (x-2)tan^2(3x-21)csc^2(x^2-9x+14)

解答

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(x - 2) tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14)

x tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) - 2 tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14)

求解步骤

(x - 2) tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14)

= tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) (x - 2)

使用分配律:

a (b - c) = ab - a c

tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) (x - 2) = tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) x - tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) \cdot 2

= tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) x - tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) \cdot 2

= x tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14) - 2 tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14)

s im pl i f y e^{(2 + i) t}

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e x p an d 1 0^{6}