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

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

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

expand

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

x^{4} + 4

Solution steps

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

Distribute parentheses

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

Simplify

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

= x^{4} + 4

(sec^{2} (a) - 1) cot^{2} (a)

l (sin^{3} (t))

f (x) 2 x^{2} + 4 x - 1

\frac{( 6 + 2 )}{( b ^{2} - 4 )}

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

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