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Popular >

expand (e^x+3x)^2

Solution

expand

(e^{x} + 3 x)^{2}

Solution

e^{2 x} + 6 e^{x} x + 9 x^{2}

Solution steps

(e^{x} + 3 x)^{2}

Apply Perfect Square Formula:

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

a = e^{x}, b = 3 x

= (e^{x})^{2} + 2 e^{x} \cdot 3 x + (3 x)^{2}

Simplify

(e^{x})^{2} + 2 e^{x} \cdot 3 x + (3 x)^{2} : e^{2 x} + 6 e^{x} x + 9 x^{2}

= e^{2 x} + 6 e^{x} x + 9 x^{2}

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Frequently Asked Questions (FAQ)

What is expand (e^x+3x)^2 ?
The solution to expand (e^x+3x)^2 is e^{2x}+6e^xx+9x^2