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

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

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

simplify

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

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

Solution steps

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

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

Apply exponent rule:

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

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

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

e^{- 2 x} 12

(e^{- x - y})^{2} (e^{x y})^{2}

e^{- \frac{b}{0.5}}

e^{- t} \cdot e^{- 5 t}

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