What is (x-3)^3+(2-x)^3 ?

The solution to (x-3)^3+(2-x)^3 is -3x^2+15x-19

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x-3)^3+(2-x)^3

simplify

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

- 3 x^{2} + 15 x - 19

Solution steps

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

Expand

(x - 3)^{3} : x^{3} - 9 x^{2} + 27 x - 27

= x^{3} - 9 x^{2} + 27 x - 27 + (2 - x)^{3}

Expand

(2 - x)^{3} : 8 - 12 x + 6 x^{2} - x^{3}

= x^{3} - 9 x^{2} + 27 x - 27 + 8 - 12 x + 6 x^{2} - x^{3}

Group like terms

= x^{3} - x^{3} - 9 x^{2} + 6 x^{2} + 27 x - 12 x - 27 + 8

Add similar elements:

x^{3} - x^{3} = 0

= - 9 x^{2} + 6 x^{2} + 27 x - 12 x - 27 + 8

Add similar elements:

- 9 x^{2} + 6 x^{2} = - 3 x^{2}

= - 3 x^{2} + 27 x - 12 x - 27 + 8

Add similar elements:

27 x - 12 x = 15 x

= - 3 x^{2} + 15 x - 27 + 8

Add the numbers:

- 27 + 8 = - 19

= - 3 x^{2} + 15 x - 19

x^{2} - 6 (y - 2)

\frac{w}{2.2}

3 x^{\frac{1}{2}} + x^{- \frac{1}{2}}

(\frac{( - b )}{a})^{2} + 2 (\frac{c}{a})

5 + 5 x^{5}