What is (x^2+2sqrt(2)*x+4)*(x^2-2sqrt(2)*x+4) ?

The solution to (x^2+2sqrt(2)*x+4)*(x^2-2sqrt(2)*x+4) is x^4+16

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simplify (x^2+2sqrt(2)x+4)(x^2-2sqrt(2)*x+4)

simplify

(x^{2} + 22 \cdot x + 4) \cdot (x^{2} - 22 \cdot x + 4)

x^{4} + 16

Solution steps

(x^{2} + 22 x + 4) (x^{2} - 22 x + 4)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 22 x) + x^{2} \cdot 4 + 22 x x^{2} + 22 x (- 22 x) + 22 x \cdot 4 + 4 x^{2} + 4 (- 22 x) + 4 \cdot 4

Simplify

x^{2} x^{2} + x^{2} (- 22 x) + x^{2} \cdot 4 + 22 x x^{2} + 22 x (- 22 x) + 22 x \cdot 4 + 4 x^{2} + 4 (- 22 x) + 4 \cdot 4 : x^{4} + 16

= x^{4} + 16

(- 1 - 3) + i (1 - 3)

(1 - \frac{1}{( x + 3 )}) (1 - \frac{1}{x + 2}) (1 - \frac{1}{x + 1})

(\frac{3173}{126})^{2} \cdot (\frac{1}{( 47 ) ^{2}} + \frac{1}{( 79 ) ^{2}} \cdot 1.9)

\frac{4 ( x + 6 ) ^{5}}{x ^{3}}

5 (8 + 36)

What is (x^2+2sqrt(2)*x+4)*(x^2-2sqrt(2)*x+4) ?
The solution to (x^2+2sqrt(2)*x+4)*(x^2-2sqrt(2)*x+4) is x^4+16