Question

if 4( np3)=(n+1)p3 find the value of n

Answer 1

4np3=p3n+p3

4p3n-p3n=p3

3p3n=p3

n=p3/3p3

n=1/3

Answer 2

Answer:

$\huge{4(np^{3} ) = (n + 1) {p}^{3} \\ 4n {p}^{3} = n {p}^{3} + {p}^{3} \\ 4n {p}^{3} - n {p}^{3} = {p}^{3} \\ 3n {p}^{3} = {p}^{3} \\ n = \frac{ {p}^{3} }{3{p}^{3} } \\ \implies \: n = \frac{1}{3}}$