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

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

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

expand

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

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

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

(x + 1) + 1

3 (3 w + 1) - 7

5 \frac{7}{8}

222

(3 x - 5) (x - 10)

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