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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

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

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

3.4 x 1 0^{- 5}

e^{t + 7} \cdot e^{- s t}

4.65 \cdot 1 0^{- 3}

2.75 x 1 0^{- 2}

x^{2} (3 x - 1)^{2}

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