What is (1-x)^{10}(1+x)^{10} ?

The solution to (1-x)^{10}(1+x)^{10} is (-x+1)^{10}(x+1)^{10}

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simplify (1-x)^{10}(1+x)^{10}

simplify

(1 - x)^{10} (1 + x)^{10}

(- x + 1)^{10} (x + 1)^{10}

Solution steps

(1 - x)^{10} (1 + x)^{10}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(- x + 1)^{10} (x + 1)^{10} = ((- x + 1) (x + 1))^{10}

= ((- x + 1) (x + 1))^{10}

Apply exponent rule:

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

= (- x + 1)^{10} (x + 1)^{10}

y (x^{2} y)

(3 a^{2}) (2 a)

e^{- s t} (e^{- t} sin (t))

(3 x^{2}) (12 x)

e^{- 3 \cdot 4}

What is (1-x)^{10}(1+x)^{10} ?
The solution to (1-x)^{10}(1+x)^{10} is (-x+1)^{10}(x+1)^{10}