Question

please reply me

p-q = r হলে , দেখাও যে , p³-q³-r³=3pqr​

Answer 1

Step-by-step explanation:

$\bf\ p - q = r \\ \bf\ p = r + q - - - - - - (1) \\ \\ \bf\underline{ to \: proved \implies {p}^{3} - {q}^{3} - {r}^{3} = 3pqr } \\ \\ \bf\red{ {( r+q )}^{3} - {q}^{3} - {r}^{3} } \\ \\ \bf\red{ \underline { \implies \: \cancel{r}^{3} + \cancel {q}^{3} + 3 {r}^{2}q + 3r {q}^{2} \cancel- {q}^{3} \cancel - {r}^{3} }} \\ \\ \bf\red{ \implies3rq(r + q)}$