What is (x^2+sqrt(2)x+1)(x^2-sqrt(2)x+1) ?

The solution to (x^2+sqrt(2)x+1)(x^2-sqrt(2)x+1) is x^4+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2+sqrt(2)x+1)(x^2-sqrt(2)x+1)

simplify

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

x^{4} + 1

Solution steps

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

Distribute parentheses

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

Simplify

x^{2} x^{2} + x^{2} (- 2 x) + x^{2} \cdot 1 + 2 x x^{2} + 2 x (- 2 x) + 2 x \cdot 1 + 1 \cdot x^{2} + 1 \cdot (- 2 x) + 1 \cdot 1 : x^{4} + 1

= x^{4} + 1

2 (2 + 3)

(z - 2 i)^{2}

\frac{2 ( x + h ) + 1 - 2 x + 1}{h}

(a + b + c + d + e)^{2}

\frac{1}{( x + 1 ) ( x + 2 )}

What is (x^2+sqrt(2)x+1)(x^2-sqrt(2)x+1) ?
The solution to (x^2+sqrt(2)x+1)(x^2-sqrt(2)x+1) is x^4+1