化简 5(3t-4)-(t^2+2)-2t(t-3)

解答

化简

5 (3 t - 4) - (t^{2} + 2) - 2 t (t - 3)

- 3 t^{2} + 21 t - 22

求解步骤

5 (3 t - 4) - (t^{2} + 2) - 2 t (t - 3)

使用分配律:

- (a + b) = - a - b

- (t^{2} + 2) = - t^{2} - 2

= 5 (3 t - 4) - t^{2} - 2 - 2 t (t - 3)

展开

5 (3 t - 4) : 15 t - 20

= 15 t - 20 - t^{2} - 2 - 2 t (t - 3)

展开

- 2 t (t - 3) : - 2 t^{2} + 6 t

= 15 t - 20 - t^{2} - 2 - 2 t^{2} + 6 t

对同类项分组

= - t^{2} - 2 t^{2} + 15 t + 6 t - 20 - 2

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

s im pl i f y csc^{3} (x) - csc^{2} (x) - csc (x) + 1

s im pl i f y \frac{2 y}{y - 3} \cdot \frac{4 y - 12}{2 y + 6}

\frac{23}{8}

s im pl i f y \frac{5 x}{x - 6} + \frac{1}{x - 6}