What is (x^5+243)/(x+3) ?

The solution to (x^5+243)/(x+3) is x^4-3x^3+9x^2-27x+81

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^5+243)/(x+3)

simplify

\frac{x ^{5} + 243}{x + 3}

x^{4} - 3 x^{3} + 9 x^{2} - 27 x + 81

Solution steps

\frac{x ^{5} + 243}{x + 3}

Factor

x^{5} + 243 : (x + 3) (x^{4} - 3 x^{3} + 9 x^{2} - 27 x + 81)

= \frac{( x + 3 ) ( x ^{4} - 3 x ^{3} + 9 x ^{2} - 27 x + 81 )}{x + 3}

Cancel the common factor:

x + 3

= x^{4} - 3 x^{3} + 9 x^{2} - 27 x + 81

\frac{9}{81}

(2 t^{- 3})^{- 2}

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

36 \times 2

(x + 2)^{3} - 2 (4 x^{2} + 6 x) + 2 x^{2}

What is (x^5+243)/(x+3) ?
The solution to (x^5+243)/(x+3) is x^4-3x^3+9x^2-27x+81