展开 (1-pcos(x)+xp*cos(x))^2

解答

展开

(1 - p \cdot cos (x) + x \cdot p \cdot cos (x))^{2}

- 2 p cos (x) + p^{2} cos^{2} (x) + 2 p x cos (x) - 2 p^{2} x cos^{2} (x) + x^{2} p^{2} cos^{2} (x) + 1

求解步骤

(1 - p cos (x) + x p cos (x))^{2}

使用指数法则:

a^{b + c} = a^{b} \cdot a^{c}

(1 - p cos (x) + x p cos (x))^{2} = (1 - p cos (x) + x p cos (x)) (1 - p cos (x) + x p cos (x))

= (1 - p cos (x) + x p cos (x)) (1 - p cos (x) + x p cos (x))

打开括号

= 1 \cdot 1 + 1 \cdot (- p cos (x)) + 1 \cdot x p cos (x) - p cos (x) \cdot 1 - p cos (x) (- p cos (x)) - p cos (x) x p cos (x) + x p cos (x) \cdot 1 + x p cos (x) (- p cos (x)) + x p cos (x) x p cos (x)

化简

1 \cdot 1 + 1 \cdot (- p cos (x)) + 1 \cdot x p cos (x) - p cos (x) \cdot 1 - p cos (x) (- p cos (x)) - p cos (x) x p cos (x) + x p cos (x) \cdot 1 + x p cos (x) (- p cos (x)) + x p cos (x) x p cos (x) : - 2 p cos (x) + p^{2} cos^{2} (x) + 2 p x cos (x) - 2 p^{2} x cos^{2} (x) + x^{2} p^{2} cos^{2} (x) + 1

= - 2 p cos (x) + p^{2} cos^{2} (x) + 2 p x cos (x) - 2 p^{2} x cos^{2} (x) + x^{2} p^{2} cos^{2} (x) + 1

roo t s (x - 3 i) (x + 3 i)

e x p an d - n (δ + x y) x

e x p an d π (4 - h^{2}) h

e x p an d ((\frac{4}{3 x}) + 4 x^{\frac{1}{2}})^{4}

e x p an d 144 (\frac{x ^{2}}{9} + \frac{y ^{2}}{16} = \frac{5}{4})