The value of 9^ - 27^ - 63^ + 81^ is equal to

Step-by-step solution

aligned & 9^ - 27^ - 63^ + 81^ & = 9^ - 27^ - (90^ -27^ )+ (90^ -9^ ) aligned aligned & = 9^ - 27^ - 27^ + 9^ & = 9^ + 9^ - ( 27^ + 27^ ) aligned We know, aligned & + = 1 = 2 2 = 2 2 & 9^ + 9^ - ( 27^ + 27^ ) aligned = 2 18^ - 2 54^ =2 ( 54^ - 18^ 18^ 54^ ) We also know, C- D aligned & =2 ( C + D ) 2 ( C - D 2 ) . & 2 ( 54^ - 18^ 18^ 54^ )=2 2 36^ 18^ 18^ 54^ aligned =2 2 54^ 18^ 18^ 54^ =4