What is (2x+3)-(10x^2-x-24)+(-5x^3-2x^2+7) ?

The solution to (2x+3)-(10x^2-x-24)+(-5x^3-2x^2+7) is -5x^3-12x^2+3x+34

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Simplify

(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

Group like terms

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

Add the numbers:

3 + 7 = 10

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

Apply the distributive law:

- (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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

x + 2 x = 3 x

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

Add the numbers:

24 + 10 = 34

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

r^{2} + 3 r - 10

3 (\frac{π \cdot 0. 2 ^{2}}{4}) + 2 (\frac{π \cdot 0.1 6 ^{2}}{4})

\frac{( 5 ^{8} ) ^{2} \cdot 5 ^{7}}{5 ^{22}}

\frac{1}{32}

\frac{\frac{x ^{2} + 6 x - 7}{3 x ^{2}}}{\frac{x + 7}{6 x}}

What is (2x+3)-(10x^2-x-24)+(-5x^3-2x^2+7) ?
The solution to (2x+3)-(10x^2-x-24)+(-5x^3-2x^2+7) is -5x^3-12x^2+3x+34