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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

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

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

((- 3)^{5})^{3}

n e^{- n}

3^{8}

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