What is expand (xln(x)-1)(xln(x)+1) ?

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

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expand (xln(x)-1)(xln(x)+1)

expand

(x ln (x) - 1) (x ln (x) + 1)

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

Solution steps

(x ln (x) - 1) (x ln (x) + 1)

Apply Difference of Two Squares Formula:

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

a = x ln (x), b = 1

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

Simplify

(x ln (x))^{2} - 1^{2} : x^{2} ln^{2} (x) - 1

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

(x^{2} - x) (e^{3 x})

(3 - y - \frac{1}{2} x)^{2} - (\frac{x}{2})^{2}

(3 n + 8) (6 n + 12)

\frac{d}{d x} ((z (x, y)) (x + y))

\frac{4 x ^{2} + 36 x - 28}{4 x}

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