What is expand (7e^x(-e^x+7))/((7+e^x)^3) ?

The solution to expand (7e^x(-e^x+7))/((7+e^x)^3) is (-7e^{2x}+49e^x)/(343+147e^x+21e^{2x)+e^{3x}}

Popular >

expand (7e^x(-e^x+7))/((7+e^x)^3)

expand

\frac{7 e ^{x} ( - e ^{x} + 7 )}{( 7 + e ^{x} ) ^{3}}

\frac{- 7 e ^{2 x} + 49 e ^{x}}{343 + 147 e ^{x} + 21 e ^{2 x} + e ^{3 x}}

Solution steps

\frac{7 e ^{x} ( - e ^{x} + 7 )}{( 7 + e ^{x} ) ^{3}}

(7 + e^{x})^{3} = 343 + 147 e^{x} + 21 e^{2 x} + e^{3 x}

= \frac{7 e ^{x} ( - e ^{x} + 7 )}{343 + 147 e ^{x} + 21 e ^{2 x} + e ^{3 x}}

Expand

7 e^{x} (- e^{x} + 7) : - 7 e^{2 x} + 49 e^{x}

= \frac{- 7 e ^{2 x} + 49 e ^{x}}{343 + 147 e ^{x} + 21 e ^{2 x} + e ^{3 x}}

A + Bl e f t (A + B)

(x y^{2} - x^{2} y) d x + (2 x^{2} y + x^{3}) d y

(- \frac{1}{2} - x) (- \frac{1}{8} - x)

7 (6 - 10)

(2 - 3 i) x^{3} + (\frac{3}{2} + 5 i) x^{2} - 6

What is expand (7e^x(-e^x+7))/((7+e^x)^3) ?
The solution to expand (7e^x(-e^x+7))/((7+e^x)^3) is (-7e^{2x}+49e^x)/(343+147e^x+21e^{2x)+e^{3x}}