What is expand (e^{2x}+ln(x))^2 ?

The solution to expand (e^{2x}+ln(x))^2 is e^{4x}+2e^{2x}ln(x)+ln^2(x)

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expand (e^{2x}+ln(x))^2

expand

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

e^{4 x} + 2 e^{2 x} ln (x) + ln^{2} (x)

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{2 x}, b = ln (x)

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

(e^{2 x})^{2} = e^{4 x}

= e^{4 x} + 2 e^{2 x} ln (x) + ln^{2} (x)

4 e (3 e - 5) - 2 e (e - 7)

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3 \cdot δ (x - 2) + 11 \cdot H (x - 10)

What is expand (e^{2x}+ln(x))^2 ?
The solution to expand (e^{2x}+ln(x))^2 is e^{4x}+2e^{2x}ln(x)+ln^2(x)