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

The solution to (x-sqrt(5)-3)(x-sqrt(5)+3) is x^2-2sqrt(5)x-4

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

simplify

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

x^{2} - 25 x - 4

Solution steps

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

Distribute parentheses

= xx + x (- 5) + x \cdot 3 - 5 x - 5 (- 5) - 5 \cdot 3 - 3 x - 3 (- 5) - 3 \cdot 3

Simplify

xx + x (- 5) + x \cdot 3 - 5 x - 5 (- 5) - 5 \cdot 3 - 3 x - 3 (- 5) - 3 \cdot 3 : x^{2} - 25 x - 4

= x^{2} - 25 x - 4

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What is (x-sqrt(5)-3)(x-sqrt(5)+3) ?
The solution to (x-sqrt(5)-3)(x-sqrt(5)+3) is x^2-2sqrt(5)x-4