What is sqrt(x^2-2x+6)*sqrt(x^2+2x-6) ?

The solution to sqrt(x^2-2x+6)*sqrt(x^2+2x-6) is sqrt((x^2-2x+6)(x^2+2x-6))

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simplify sqrt(x^2-2x+6)*sqrt(x^2+2x-6)

simplify

x^{2} - 2 x + 6 \cdot x^{2} + 2 x - 6

(x^{2} - 2 x + 6) (x^{2} + 2 x - 6)

Solution steps

x^{2} - 2 x + 6 x^{2} + 2 x - 6

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

x^{2} - 2 x + 6 x^{2} + 2 x - 6 = (x^{2} - 2 x + 6) (x^{2} + 2 x - 6)

= (x^{2} - 2 x + 6) (x^{2} + 2 x - 6)

9^{2} - (\frac{25}{26})^{2}

(7 \cdot 1 0^{- 8}) (3 \cdot 1 0^{- 6})

x - 3 \cdot x + 2

x - 3 \cdot x + 3

t t + h

What is sqrt(x^2-2x+6)*sqrt(x^2+2x-6) ?
The solution to sqrt(x^2-2x+6)*sqrt(x^2+2x-6) is sqrt((x^2-2x+6)(x^2+2x-6))