展开 (10x+3)sqrt(5-2x^2-9x)

解答

展开

(10 x + 3) 5 - 2 x^{2} - 9 x

10 x - 2 x^{2} - 9 x + 5 + 3 - 2 x^{2} - 9 x + 5

求解步骤

(10 x + 3) 5 - 2 x^{2} - 9 x

= 5 - 2 x^{2} - 9 x (10 x + 3)

使用分配律:

a (b + c) = ab + a c

5 - 2 x^{2} - 9 x (10 x + 3) = 5 - 2 x^{2} - 9 x \cdot 10 x + 5 - 2 x^{2} - 9 x \cdot 3

= 5 - 2 x^{2} - 9 x \cdot 10 x + 5 - 2 x^{2} - 9 x \cdot 3

化简

5 - 2 x^{2} - 9 x \cdot 10 x + 5 - 2 x^{2} - 9 x \cdot 3 : 10 x - 2 x^{2} - 9 x + 5 + 3 - 2 x^{2} - 9 x + 5

= 10 x - 2 x^{2} - 9 x + 5 + 3 - 2 x^{2} - 9 x + 5

e x p an d (1 + cot (θ))^{2}

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

e x p an d (a + b t) e^{3 t} - \frac{2}{5} e^{- 2 t}

s im pl i f y \frac{8 ( 2 3 - 3 )}{3}

e x p an d \frac{1}{2 - 3} x \frac{1}{2 + 3}