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Popular >

simplify (3e^xx)(3e^xx)

Solution

simplify

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

Solution

9 e^{2 x} x^{2}

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

3 \cdot 3 = 3^{1 + 1}

= e^{x} x \cdot 3^{1 + 1} e^{x} x

Add the numbers:

1 + 1 = 2

= e^{x} x \cdot 3^{2} e^{x} x

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{x} e^{x} = e^{x + x}

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

Add similar elements:

x + x = 2 x

= x \cdot 3^{2} e^{2 x} x

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

xx = x^{1 + 1}

= 3^{2} e^{2 x} x^{1 + 1}

Add the numbers:

1 + 1 = 2

= 3^{2} e^{2 x} x^{2}

3^{2} = 9

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

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Frequently Asked Questions (FAQ)

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