展开 x(4-x)^3

解答

展开

x (4 - x)^{3}

64 x - 48 x^{2} + 12 x^{3} - x^{4}

求解步骤

x (4 - x)^{3}

展开

(4 - x)^{3} : 64 - 48 x + 12 x^{2} - x^{3}

= x (64 - 48 x + 12 x^{2} - x^{3})

打开括号

= x \cdot 64 + x (- 48 x) + x \cdot 12 x^{2} + x (- x^{3})

化简

x \cdot 64 + x (- 48 x) + x \cdot 12 x^{2} + x (- x^{3}) : 64 x - 48 x^{2} + 12 x^{3} - x^{4}

= 64 x - 48 x^{2} + 12 x^{3} - x^{4}

d er i v a t i v e y = \frac{4}{x} + x + 0.5 - 5 x

t \to 0 lim (\frac{sin ^{2} ( 3 t )}{t})

\frac{\partial}{\partial y} (\frac{1}{x ^{2} + y ^{2} + z ^{2}})

n = 1 \sum \infty \frac{5}{1 0 ^{n}}

d er i v a t i v e y = 14 x