What is (x^2-5sqrt(x))^2 ?

The solution to (x^2-5sqrt(x))^2 is x^4-10x^2sqrt(x)+25x

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simplify (x^2-5sqrt(x))^2

simplify

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

x^{4} - 10 x^{2} x + 25 x

Solution steps

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

Apply Perfect Square Formula:

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

(x^{2} - 5 x)^{2} = (x^{2})^{2} - 2 x^{2} \cdot 5 x + (5 x)^{2}

= (x^{2})^{2} - 2 x^{2} \cdot 5 x + (5 x)^{2}

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

- 2 x^{2} \cdot 5 x = - 10 x^{2} x

(5 x)^{2} = 25 x

= x^{4} - 10 x^{2} x + 25 x

e^{α \cdot t} ((a cosh (β \cdot t)) + (b + c \cdot t) sinh (β \cdot t))

(x + 11)^{2}

e^{12 x} [12 (2 x + 12 x^{2}) + 2 + \frac{24}{x}]

\frac{( x + 3 ) ( x - 4 )}{x + 2}

3 (6 + 63)

What is (x^2-5sqrt(x))^2 ?
The solution to (x^2-5sqrt(x))^2 is x^4-10x^2sqrt(x)+25x