Find the missing term and the missing coefficient 6a −( )5a =( ) a2 − 35a

Solving for the missing term and the missing coefficient (6a − )5a = ( ) a^2 − 35a
 Let the missing term be X
 Let the missing coefficient be Y
 Therefore, (6a – X)5a = Y(a^2) – 35a
 6a x 5a – X.5a = Y.a^2 – 35a
 30a^2 – X.5a = Y.a^2 – 35a
  Equating co-efficients,
30a^2 = Y.a^2; X.5a = 35a
 30 = Y; 5X = 35
Y = 30; X = 7
   Therefore, (6a-7)5a = 30 a^2 – 35a