What is expand (ln(0.5x+0.5)+2.4)^2 ?

The solution to expand (ln(0.5x+0.5)+2.4)^2 is ln^2(0.5x+0.5)+4.8ln(0.5x+0.5)+5.76

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expand (ln(0.5x+0.5)+2.4)^2

expand

(ln (0.5 x + 0.5) + 2.4)^{2}

ln^{2} (0.5 x + 0.5) + 4.8 ln (0.5 x + 0.5) + 5.76

Solution steps

(ln (0.5 x + 0.5) + 2.4)^{2}

Apply Perfect Square Formula:

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

a = ln (0.5 x + 0.5), b = 2.4

= ln^{2} (0.5 x + 0.5) + 2 ln (0.5 x + 0.5) \cdot 2.4 + 2. 4^{2}

Simplify

ln^{2} (0.5 x + 0.5) + 2 ln (0.5 x + 0.5) \cdot 2.4 + 2. 4^{2} : ln^{2} (0.5 x + 0.5) + 4.8 ln (0.5 x + 0.5) + 5.76

= ln^{2} (0.5 x + 0.5) + 4.8 ln (0.5 x + 0.5) + 5.76

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What is expand (ln(0.5x+0.5)+2.4)^2 ?
The solution to expand (ln(0.5x+0.5)+2.4)^2 is ln^2(0.5x+0.5)+4.8ln(0.5x+0.5)+5.76