What is factor 2m^2e^{mx}+7me^{mx}-4e^{mx} ?

The solution to factor 2m^2e^{mx}+7me^{mx}-4e^{mx} is e^{mx}(2m-1)(m+4)

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factor 2m^2e^{mx}+7me^{mx}-4e^{mx}

factor

2 m^{2} e^{m x} + 7 m e^{m x} - 4 e^{m x}

e^{m x} (2 m - 1) (m + 4)

Solution steps

2 m^{2} e^{m x} + 7 m e^{m x} - 4 e^{m x}

Factor out common term

e^{m x}

= e^{m x} (2 m^{2} + 7 m - 4)

Factor

2 m^{2} + 7 m - 4 : (2 m - 1) (m + 4)

= e^{m x} (m + 4) (2 m - 1)

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What is factor 2m^2e^{mx}+7me^{mx}-4e^{mx} ?
The solution to factor 2m^2e^{mx}+7me^{mx}-4e^{mx} is e^{mx}(2m-1)(m+4)