What is (x-2)(x-3)(x-sqrt(5))(x+sqrt(5)) ?

The solution to (x-2)(x-3)(x-sqrt(5))(x+sqrt(5)) is (x-2)(x-3)(x^2-5)

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simplify (x-2)(x-3)(x-sqrt(5))(x+sqrt(5))

simplify

(x - 2) (x - 3) (x - 5) (x + 5)

(x - 2) (x - 3) (x^{2} - 5)

Solution steps

(x - 2) (x - 3) (x - 5) (x + 5)

Apply Difference of Two Squares Formula:

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

(x - 5) (x + 5) = x^{2} - (5)^{2}

= (x - 2) (x - 3) (x^{2} - (5)^{2})

Simplify

x^{2} - (5)^{2} : x^{2} - 5

= (x - 2) (x - 3) (x^{2} - 5)

(x + 2 - 3) (x + 2 + 3)

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

7 (x)

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

(2 sin (x) - 4)^{2}

What is (x-2)(x-3)(x-sqrt(5))(x+sqrt(5)) ?
The solution to (x-2)(x-3)(x-sqrt(5))(x+sqrt(5)) is (x-2)(x-3)(x^2-5)