What is (x^5-y^5)/(x-y) ?

The solution to (x^5-y^5)/(x-y) is x^4+x^3y+x^2y^2+xy^3+y^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^5-y^5)/(x-y)

simplify

\frac{x ^{5} - y ^{5}}{x - y}

x^{4} + x^{3} y + x^{2} y^{2} + x y^{3} + y^{4}

Solution steps

\frac{x ^{5} - y ^{5}}{x - y}

Apply factoring rule:

x^{n} + y^{n} = (x + y) (x^{n - 1} - x^{n - 2} y + \dots - x y^{n - 2} + y^{n - 1}), n i s o dd

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

= \frac{( x - y ) ( x ^{4} + x ^{3} y + x ^{2} y ^{2} + x y ^{3} + y ^{4} )}{x - y}

Cancel the common factor:

x - y

= x^{4} + x^{3} y + x^{2} y^{2} + x y^{3} + y^{4}

2 - 75

6 \cdot 1 0^{5}

\frac{12 a ^{2} - 21 a}{12 a ^{2} - 28 a}

\frac{x}{x + 5} - \frac{2}{x - 3}

\frac{1}{2} - \frac{5}{6}

What is (x^5-y^5)/(x-y) ?
The solution to (x^5-y^5)/(x-y) is x^4+x^3y+x^2y^2+xy^3+y^4