What is expand (xln(x)-x)^2 ?

The solution to expand (xln(x)-x)^2 is x^2ln^2(x)-2x^2ln(x)+x^2

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expand (xln(x)-x)^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

a = x ln (x), b = x

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

Simplify

(x ln (x))^{2} - 2 x ln (x) x + x^{2} : x^{2} ln^{2} (x) - 2 x^{2} ln (x) + x^{2}

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

x (x^{2} + y^{2})^{2} (y d x - x d y)

\frac{3 \cdot ( x + 1 )}{2 \cdot x}

\frac{1}{( x - 11 ) ^{2}}

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

\frac{( 4 - x ) ( 16 + 5 x ^{2} )}{8}

What is expand (xln(x)-x)^2 ?
The solution to expand (xln(x)-x)^2 is x^2ln^2(x)-2x^2ln(x)+x^2