化简 (3x^2+4x-1)-(2x^2-5x+2)

解答

化简

(3 x^{2} + 4 x - 1) - (2 x^{2} - 5 x + 2)

x^{2} + 9 x - 3

求解步骤

(3 x^{2} + 4 x - 1) - (2 x^{2} - 5 x + 2)

使用法则:

(a) = a

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

= 3 x^{2} + 4 x - 1 - (2 x^{2} - 5 x + 2)

使用分配律:

- (a - b) = - a + b

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

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

对同类项分组

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

s im pl i f y \frac{3 - 2 3}{2 3 + 1}

e x p an d (- 3 z^{2} + 4 z - 2) (2 z + 3)

s im pl i f y \frac{1}{3} + 9

f a c t or 4 x^{3} - 8 x^{2} - 9 x + 18

f a c t or y^{2} + 50 y + 336