Determine the 7th term of p1 3p210 Please show the work im

Determine the 7th term of (p^-1 - 3p^2)^10. Please show the work, i\'m completely lost with this one.

Solution

r^th term (x+y)ⁿ of ⁿC_r-1x^n-(r-1)y^r-1

7th term of (p^-1 - 3p²)¹⁰

= ¹⁰C_7-1(p^-1)^10-(7-1)(-3p²)^7-1

= ¹⁰C₆(p^-1)⁴(-3p²)⁶

= ¹⁰C₆p^-43⁶p¹²

= ¹⁰C₆3⁶p⁸

=153090p⁸

7th term of (p^-1  - 3p²)¹⁰=153090p⁸