What is (1-x)^8(1+x+x^2)^8 ?

The solution to (1-x)^8(1+x+x^2)^8 is (-x+1)^8(x^2+x+1)^8

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simplify (1-x)^8(1+x+x^2)^8

simplify

(1 - x)^{8} (1 + x + x^{2})^{8}

(- x + 1)^{8} (x^{2} + x + 1)^{8}

Solution steps

(1 - x)^{8} (1 + x + x^{2})^{8}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(- x + 1)^{8} (x^{2} + x + 1)^{8} = ((- x + 1) (x^{2} + x + 1))^{8}

= ((- x + 1) (x^{2} + x + 1))^{8}

Apply exponent rule:

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

= (- x + 1)^{8} (x^{2} + x + 1)^{8}

- 10 a^{- 5} b^{6}

(3 a^{2} c) 3

(2 x^{2} y^{4}) 2 (3 y)

999.9999800000000 \dots (3.5 \cdot 1 0^{- 3})

(x + 5)^{2} (x - 1)^{2}

What is (1-x)^8(1+x+x^2)^8 ?
The solution to (1-x)^8(1+x+x^2)^8 is (-x+1)^8(x^2+x+1)^8