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Popular >

expand (1+ln(x))^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

a = 1, b = ln (x)

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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