Question

Evaluate the following expression given that a = 2, b = 4, c = -3

20 - (12 + ac)^2 / a • c + 5

Please help need the complete equation written out and answer Thanks

Answer 1

Value of the expression
`(20 - (12 + ac)^(2))/(a* c + 5)` when a = 2, b = 4, c = -3 is 16 .

Explanation:

As the expression given in the question be

`= (20 - (12 + ac)^(2))/(a* c + 5)`

Where a = 2 , b =4 , c = -3

Putting all the values in the above

`= (20-(12+2* -3)^(2))/(2* -3 + 5)`

`= (20-(12-6)^(2))/(-6 + 5)`

`= (20-(12-6)^(2))/(-6 + 5)`

`= (20-(6)^(2))/(-6 + 5)`

`= (20-36)/(-6 + 5)`

`= (-16)/(-1)`

= 16

Therefore the value of the expression
`(20 - (12 + ac)^(2))/(a* c + 5)` when a = 2, b = 4, c = -3 is 16 .