What is expand ((1+x/(360))^4(1+(3x)/(360))^3)^4 ?

The solution to expand ((1+x/(360))^4(1+(3x)/(360))^3)^4 is ((x/(360)+1)^4)^4(((3x)/(360)+1)^3)^4

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expand ((1+x/(360))^4(1+(3x)/(360))^3)^4

expand

((1 + \frac{x}{360})^{4} (1 + \frac{3 x}{360})^{3})^{4}

((\frac{x}{360} + 1)^{4})^{4} ((\frac{3 x}{360} + 1)^{3})^{4}

Solution steps

((1 + \frac{x}{360})^{4} (1 + \frac{3 x}{360})^{3})^{4}

Apply exponent rule:

(ab)^{c} = a^{c} b^{c}

((1 + \frac{x}{360})^{4} (1 + \frac{3 x}{360})^{3})^{4} = ((1 + \frac{x}{360})^{4})^{4} ((1 + \frac{3 x}{360})^{3})^{4}

= ((\frac{x}{360} + 1)^{4})^{4} ((\frac{3 x}{360} + 1)^{3})^{4}

- \frac{3}{2} \cdot e^{x^{2}} \cdot e^{- x^{2}}

3.74 \cdot 1 0^{- 19}

- 2.6 e^{(- 0.2 \cdot 5)}

2.26 \cdot 1 0^{- 6}

(e^{- t} - e^{- 2 t}) co n v o l u t i o n u (t)

What is expand ((1+x/(360))^4(1+(3x)/(360))^3)^4 ?
The solution to expand ((1+x/(360))^4(1+(3x)/(360))^3)^4 is ((x/(360)+1)^4)^4(((3x)/(360)+1)^3)^4