展开 (5x^3+x^2+sqrt(x))(1.5x^2+3)

解答

展开

(5 x^{3} + x^{2} + x) (1.5 x^{2} + 3)

7.5 x^{5} + 15 x^{3} + 1.5 x^{4} + 3 x^{2} + 1.5 x^{2} x + 3 x

求解步骤

(5 x^{3} + x^{2} + x) (1.5 x^{2} + 3)

打开括号

= 5 x^{3} \cdot 1.5 x^{2} + 5 x^{3} \cdot 3 + x^{2} \cdot 1.5 x^{2} + x^{2} \cdot 3 + x \cdot 1.5 x^{2} + x \cdot 3

化简

5 x^{3} \cdot 1.5 x^{2} + 5 x^{3} \cdot 3 + x^{2} \cdot 1.5 x^{2} + x^{2} \cdot 3 + x \cdot 1.5 x^{2} + x \cdot 3 : 7.5 x^{5} + 15 x^{3} + 1.5 x^{4} + 3 x^{2} + 1.5 x^{2} x + 3 x

= 7.5 x^{5} + 15 x^{3} + 1.5 x^{4} + 3 x^{2} + 1.5 x^{2} x + 3 x

s im pl i f y (3 + x + 2)^{2}

e x p an d (x y^{2} - 2 sin (x)) d x - (2 sin (y) - x^{2} y) d y

e x p an d (- 2)^{6}

e x p an d (1 - 3 i) ((3 - 4 i) (2, + 3 i))

s im pl i f y - 2 (11 - 105) + \frac{900 - 76 105}{45}