en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x^2+x+1)^2

Solution

expand

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

Solution

x^{4} + 2 x^{3} + 3 x^{2} + 2 x + 1

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

= x^{2} x^{2} + x^{2} x + x^{2} \cdot 1 + x x^{2} + xx + x \cdot 1 + 1 \cdot x^{2} + 1 \cdot x + 1 \cdot 1

Simplify

x^{2} x^{2} + x^{2} x + x^{2} \cdot 1 + x x^{2} + xx + x \cdot 1 + 1 \cdot x^{2} + 1 \cdot x + 1 \cdot 1 : x^{4} + 2 x^{3} + 3 x^{2} + 2 x + 1

= x^{4} + 2 x^{3} + 3 x^{2} + 2 x + 1

Popular Examples

simplify 16/4 simplify

\frac{16}{4}

simplify sin(x)sin(x)simplify

sin (x) sin (x)

simplify (2/5)^{-3}\times (3/7)^{-3}simplify

(\frac{2}{5})^{- 3} \times (\frac{3}{7})^{- 3}

\frac{13}{4}

simplify 5/100 simplify

\frac{5}{100}

Frequently Asked Questions (FAQ)

What is expand (x^2+x+1)^2 ?
The solution to expand (x^2+x+1)^2 is x^4+2x^3+3x^2+2x+1