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受欢迎的代数 >

化简 (2x+3)-(10x^2-x-24)+(-5x^3-2x^2+7)

解答

化简

(2 x + 3) - (10 x^{2} - x - 24) + (- 5 x^{3} - 2 x^{2} + 7)

解答

- 5 x^{3} - 12 x^{2} + 3 x + 34

求解步骤

(2 x + 3) - (10 x^{2} - x - 24) + (- 5 x^{3} - 2 x^{2} + 7)

化简

(2 x + 3) - (10 x^{2} - x - 24) + (- 5 x^{3} - 2 x^{2} + 7) : 2 x + 3 - (10 x^{2} - x - 24) - 5 x^{3} - 2 x^{2} + 7

= 2 x + 3 - (10 x^{2} - x - 24) - 5 x^{3} - 2 x^{2} + 7

对同类项分组

= - (10 x^{2} - x - 24) - 5 x^{3} - 2 x^{2} + 2 x + 3 + 7

数字相加:

3 + 7 = 10

= - (10 x^{2} - x - 24) - 5 x^{3} - 2 x^{2} + 2 x + 10

使用分配律:

- (a - b) = - a + b

- (10 x^{2} - x - 24) = - 10 x^{2} + x + 24

= - 10 x^{2} + x + 24 - 5 x^{3} - 2 x^{2} + 2 x + 10

对同类项分组

= - 5 x^{3} - 10 x^{2} - 2 x^{2} + x + 2 x + 24 + 10

同类项相加:

- 10 x^{2} - 2 x^{2} = - 12 x^{2}

= - 5 x^{3} - 12 x^{2} + x + 2 x + 24 + 10

同类项相加:

x + 2 x = 3 x

= - 5 x^{3} - 12 x^{2} + 3 x + 24 + 10

数字相加:

24 + 10 = 34

= - 5 x^{3} - 12 x^{2} + 3 x + 34

流行的例子

因式分解 r^2+3r-10

f a c t or r^{2} + 3 r - 10

\frac{1}{32}

化简 (\frac{x^2+6x-7)/(3x^2)}{(x+7)/(6x)}

s im pl i f y \frac{\frac{x ^{2} + 6 x - 7}{3 x ^{2}}}{\frac{x + 7}{6 x}}

化简 1.3^2+3.2x^{0.7}

s im pl i f y 1. 3^{2} + 3.2 x^{0.7}

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