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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

(e^{z})^{3}

10 x e^{- 4 x}

(7.6 x 1 0^{- 4}) (6 x 1 0^{- 4})

1.89 (1.6 (1 0^{- 19}))

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