What is x^4(x-sqrt(2))^6(x+sqrt(2))^6 ?

The solution to x^4(x-sqrt(2))^6(x+sqrt(2))^6 is x^4(x-sqrt(2))^6(x+sqrt(2))^6

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simplify x^4(x-sqrt(2))^6(x+sqrt(2))^6

simplify

x^{4} (x - 2)^{6} (x + 2)^{6}

x^{4} (x - 2)^{6} (x + 2)^{6}

Solution steps

x^{4} (x - 2)^{6} (x + 2)^{6}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

= x^{4} ((x - 2) (x + 2))^{6}

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

= x^{4} (x - 2)^{6} (x + 2)^{6}

t^{3} e^{(- 3 t)}

e^{- n} \cdot sin^{2} (e^{n})

(4 x^{2}) (9 y) (2 x y)

399 e^{- 0.032 (25)}

What is x^4(x-sqrt(2))^6(x+sqrt(2))^6 ?
The solution to x^4(x-sqrt(2))^6(x+sqrt(2))^6 is x^4(x-sqrt(2))^6(x+sqrt(2))^6