What is expand (x^2+2x=1)e^{2x} ?

The solution to expand (x^2+2x=1)e^{2x} is e^{2x}x^2+2e^{2x}x=1

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expand (x^2+2x=1)e^{2x}

expand

(x^{2} + 2 x = 1) e^{2 x}

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

Solution steps

(x^{2} + 2 x = 1) e^{2 x}

= e^{2 x} (x^{2} + 2 \cdot 1 = x)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{2 x}, b = x^{2}, c = 2 x = 1

e^{2 x} x^{2} + e^{2 x} \cdot 2 x = 1

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

(4 - y) 4 - y^{2} d y

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\frac{x ^{3} + 3 x ^{2} + 6 x + 6}{( x ^{2} + x + 1 ) ^{2}}

(2 sin (x) - sin (2 x)) csc^{2} (\frac{x}{2})

What is expand (x^2+2x=1)e^{2x} ?
The solution to expand (x^2+2x=1)e^{2x} is e^{2x}x^2+2e^{2x}x=1