What is (x-4)(x+7)(x-sqrt(2))(x+sqrt(2)) ?

The solution to (x-4)(x+7)(x-sqrt(2))(x+sqrt(2)) is (x-4)(x+7)(x^2-2)

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simplify (x-4)(x+7)(x-sqrt(2))(x+sqrt(2))

simplify

(x - 4) (x + 7) (x - 2) (x + 2)

(x - 4) (x + 7) (x^{2} - 2)

Solution steps

(x - 4) (x + 7) (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}

= (x - 4) (x + 7) (x^{2} - (2)^{2})

Simplify

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

= (x - 4) (x + 7) (x^{2} - 2)

(1 - \frac{1}{x}) (1 + \frac{1}{z ^{2}}) (1 + \frac{1}{z})

\frac{4 s + 2 s ^{2} + 8}{( s ^{2} + 4 ) ( s + 1 ) ^{2}}

\frac{6}{( s ^{'} + 7 s + 10 ) ( s ^{2} + 4 )}

(x + 1 - 2 i) (x + 1 + 2 i)

\frac{6 x ^{2} + 21 x + 11}{( x ^{2} + 3 ) ( x + 5 )}

What is (x-4)(x+7)(x-sqrt(2))(x+sqrt(2)) ?
The solution to (x-4)(x+7)(x-sqrt(2))(x+sqrt(2)) is (x-4)(x+7)(x^2-2)