展开 (1+cot(x))^2

解答

展开

(1 + cot (x))^{2}

1 + 2 cot (x) + cot^{2} (x)

求解步骤

(1 + cot (x))^{2}

使用完全平方公式:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(1 + cot (x))^{2} = 1^{2} + 2 \cdot 1 \cdot cot (x) + cot^{2} (x)

= 1^{2} + 2 \cdot 1 \cdot cot (x) + cot^{2} (x)

化简

1^{2} + 2 \cdot 1 \cdot cot (x) + cot^{2} (x) : 1 + 2 cot (x) + cot^{2} (x)

= 1 + 2 cot (x) + cot^{2} (x)

e x p an d (csc (x) - cot (x)) (1 + cos (x))

e x p an d \frac{( k + 1 ) ( k + 2 ) ( 2 k + 3 )}{6}

e x p an d (1 + x^{\frac{2}{3}}) (1 - x^{\frac{2}{3}})

s im pl i f y (3 - 2 k)^{2}

\frac{\partial}{\partial x} ((z) (x^{2} + y^{2} + z^{2}))