If A= 3 4 , then what is the value of ( A 2 ) ( 3 A 2 ) ?

Step-by-step solution

A= 3 4 aligned & ( A 2 ) ( 3 A 2 )= 1 2 [2 A 2 3 A 2 ] & = 1 2 [ ( 3 A 2 - A 2 )- ( 3 A 2 + A 2 ) ] & = 1 2 [ A- 2 A]= 1 2 [ A- (2 ^2 A-1 ) ] & = 1 2 [ A-2 ^2 A+1 ] aligned aligned & = 1 2 [ ( 3 4 )-2 ( 3 4 )^2+1 ] & = 1 2 [ 3 4 - 18 16 +1 ]= 1 2 [ 12-18+16 16 ]= 1 2 [ 10 16 ]= 5 16 aligned