What is factor e^{x+2y}+e^{x+2y}x ?

The solution to factor e^{x+2y}+e^{x+2y}x is e^{2y+x}(1+x)

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factor e^{x+2y}+e^{x+2y}x

factor

e^{x + 2 y} + e^{x + 2 y} x

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

Solution steps

e^{x + 2 y} + e^{x + 2 y} x

Apply exponent rule:

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

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

Factor out common term

e^{2 y} e^{x}

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

Refine

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

27 x^{3 - 1}

2 5^{2} - 5^{2}

(2 + 4 i)^{20}

(ln (m^{2} + 1))^{s e c (m)}

x^{4} - 5 x^{3} + 6 x^{2} x + 6

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