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

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

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

simplify

2 (x - 2) (x - 2) (x + 2)

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

Solution steps

2 (x - 2) (x - 2) (x + 2)

Apply Difference of Two Squares Formula:

(a - b) (a + b) = a^{2} - b^{2}

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

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

Simplify

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

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

(\frac{4}{16} x + \frac{5}{16} y + \frac{3}{16} z + \frac{4}{16} t)^{4}

(4 + 2 i)^{5}

e^{(1 + 2 i) t}

\frac{π h ^{2} ( 3 r - h )}{3}

- 2.5 (25 x^{2} + 361)^{\frac{1}{2}} + 25 (x + 2.5)

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