What is expand (8e^{8x}(4x+1))/(45) ?

The solution to expand (8e^{8x}(4x+1))/(45) is (32e^{8x}x)/(45)+(8e^{8x})/(45)

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expand (8e^{8x}(4x+1))/(45)

expand

\frac{8 e ^{8 x} ( 4 x + 1 )}{45}

\frac{32 e ^{8 x} x}{45} + \frac{8 e ^{8 x}}{45}

Solution steps

\frac{8 e ^{8 x} ( 4 x + 1 )}{45}

Expand

8 e^{8 x} (4 x + 1) : 32 e^{8 x} x + 8 e^{8 x}

= \frac{32 e ^{8 x} x + 8 e ^{8 x}}{45}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{32 e ^{8 x} x + 8 e ^{8 x}}{45} = \frac{32 e ^{8 x} x}{45} + \frac{8 e ^{8 x}}{45}

= \frac{32 e ^{8 x} x}{45} + \frac{8 e ^{8 x}}{45}

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What is expand (8e^{8x}(4x+1))/(45) ?
The solution to expand (8e^{8x}(4x+1))/(45) is (32e^{8x}x)/(45)+(8e^{8x})/(45)