en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^3+1)/(x^2+2x+1)

Solution

simplify

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

Solution

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

Solution steps

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

Factor

x^{3} + 1 : (x + 1) (x^{2} - x + 1)

= \frac{( x + 1 ) ( x ^{2} - x + 1 )}{x ^{2} + 2 x + 1}

Factor

x^{2} + 2 x + 1 : (x + 1)^{2}

= \frac{( x + 1 ) ( x ^{2} - x + 1 )}{( x + 1 ) ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x + 1)^{2} = (x + 1) (x + 1)

= \frac{( x + 1 ) ( x ^{2} - x + 1 )}{( x + 1 ) ( x + 1 )}

Cancel the common factor:

x + 1

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

Popular Examples

simplify-4/3+1/3 simplify

- \frac{4}{3} + \frac{1}{3}

simplify 2/3 \times 5/7 simplify

\frac{2}{3} \times \frac{5}{7}

simplify 2/3 \times 5/2 simplify

\frac{2}{3} \times \frac{5}{2}

factor 8p-24q factor

8 p - 24 q

expand (a-3b)^7 expand

(a - 3 b)^{7}

Frequently Asked Questions (FAQ)

What is (x^3+1)/(x^2+2x+1) ?
The solution to (x^3+1)/(x^2+2x+1) is (x^2-x+1)/(x+1)