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Popular >

expand (ln(x)-1)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

a = ln (x), b = 1

= ln^{2} (x) - 2 ln (x) \cdot 1 + 1^{2}

Simplify

ln^{2} (x) - 2 ln (x) \cdot 1 + 1^{2} : ln^{2} (x) - 2 ln (x) + 1

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

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Frequently Asked Questions (FAQ)

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