展开 (x^3-4x^2-6x+1)(x^2-3x+1)

解答

展开

(x^{3} - 4 x^{2} - 6 x + 1) (x^{2} - 3 x + 1)

x^{5} - 7 x^{4} + 7 x^{3} + 15 x^{2} - 9 x + 1

求解步骤

(x^{3} - 4 x^{2} - 6 x + 1) (x^{2} - 3 x + 1)

打开括号

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

化简

x^{3} x^{2} + x^{3} (- 3 x) + x^{3} \cdot 1 - 4 x^{2} x^{2} - 4 x^{2} (- 3 x) - 4 x^{2} \cdot 1 - 6 x x^{2} - 6 x (- 3 x) - 6 x \cdot 1 + 1 \cdot x^{2} + 1 \cdot (- 3 x) + 1 \cdot 1 : x^{5} - 7 x^{4} + 7 x^{3} + 15 x^{2} - 9 x + 1

= x^{5} - 7 x^{4} + 7 x^{3} + 15 x^{2} - 9 x + 1

\frac{d}{d x} (- sin (2 x) + 1)

\frac{d}{d x} ((5 x - 3) (4 x - \frac{3}{x}))

\int \frac{x ^{2}}{x ^{3} + 9} d x

\frac{d}{d x} (9 x^{2} e^{x})

\frac{d}{d x} (x sinh (x) - cosh (x))