What is (n^2-sqrt(n))^2 ?

The solution to (n^2-sqrt(n))^2 is n^4-2n^2sqrt(n)+n

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simplify (n^2-sqrt(n))^2

simplify

(n^{2} - n)^{2}

n^{4} - 2 n^{2} n + n

Solution steps

(n^{2} - n)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(n^{2} - n)^{2} = (n^{2})^{2} - 2 n^{2} n + (n)^{2}

= (n^{2})^{2} - 2 n^{2} n + (n)^{2}

(n^{2})^{2} = n^{4}

(n)^{2} = n

= n^{4} - 2 n^{2} n + n

\frac{8 e ^{- π s}}{( s ^{2} + 1 ) ( s ^{2} + 9 )}

\frac{1}{1 + x ^{4}}

5 (2 d + 6 ec + 6 a)

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

[ln^{2} (1 + x) \cdot (1 + x)]^{^{'}}