化简 (6x^2-x+3)-(-5x^2+10x-1)

解答

化简

(6 x^{2} - x + 3) - (- 5 x^{2} + 10 x - 1)

11 x^{2} - 11 x + 4

求解步骤

(6 x^{2} - x + 3) - (- 5 x^{2} + 10 x - 1)

使用法则:

(a) = a

(6 x^{2} - x + 3) = 6 x^{2} - x + 3

= 6 x^{2} - x + 3 - (- 5 x^{2} + 10 x - 1)

使用分配律:

- (- a + b) = a - b

- (- 5 x^{2} + 10 x - 1) = 5 x^{2} - 10 x + 1

= 6 x^{2} - x + 3 + 5 x^{2} - 10 x + 1

对同类项分组

= 6 x^{2} + 5 x^{2} - x - 10 x + 3 + 1

s im pl i f y \frac{2 - x}{x - 2}

s im pl i f y (\frac{5}{2} c + \frac{8}{4}) (\frac{6}{3} c + \frac{4}{8})

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

f a c t or x^{4} y - x^{2}

s im pl i f y ln (\frac{1}{1})