What is factor e^{4x}-e^{2x} ?

The solution to factor e^{4x}-e^{2x} is e^{2x}(e^x+1)(e^x-1)

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factor e^{4x}-e^{2x}

factor

e^{4 x} - e^{2 x}

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

Solution steps

e^{4 x} - e^{2 x}

Apply exponent rule:

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

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

= e^{2 x} e^{2 x} - e^{2 x}

Factor out common term

e^{2 x}

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

Factor

e^{2 x} - 1 : (e^{x} + 1) (e^{x} - 1)

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

sin (x) (2 x)

x^{3} + 2^{2} + x

m^{4} + m^{4}

(sin (x^{2}))^{4}

729 - y^{15}

What is factor e^{4x}-e^{2x} ?
The solution to factor e^{4x}-e^{2x} is e^{2x}(e^x+1)(e^x-1)