What is expand (2-10ln(4/3))^2 ?

The solution to expand (2-10ln(4/3))^2 is 4-40ln(4/3)+100ln^2(4/3)

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expand (2-10ln(4/3))^2

expand

(2 - 10 ln (\frac{4}{3}))^{2}

4 - 40 ln (\frac{4}{3}) + 100 ln^{2} (\frac{4}{3})

Decimal Notation

0.76881 \dots

Solution steps

(2 - 10 ln (\frac{4}{3}))^{2}

Apply Perfect Square Formula:

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

a = 2, b = 10 ln (\frac{4}{3})

= 2^{2} - 2 \cdot 2 \cdot 10 ln (\frac{4}{3}) + (10 ln (\frac{4}{3}))^{2}

Simplify

2^{2} - 2 \cdot 2 \cdot 10 ln (\frac{4}{3}) + (10 ln (\frac{4}{3}))^{2} : 4 - 40 ln (\frac{4}{3}) + 100 ln^{2} (\frac{4}{3})

= 4 - 40 ln (\frac{4}{3}) + 100 ln^{2} (\frac{4}{3})

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What is expand (2-10ln(4/3))^2 ?
The solution to expand (2-10ln(4/3))^2 is 4-40ln(4/3)+100ln^2(4/3)