This is all about operations priority! We have to perform the operations in the right order, remembering that parentheses come first, then powers, then multiplications and then additions:
Start with
[tex]4(10-4)^2+4[/tex]
Perform the operations inside parenthesis first:
[tex]4\cdot 6^2+4[/tex]
Perform the square:
[tex]4\cdot 36+4[/tex]
Perform the product:
[tex]144+4[/tex]
Perform the sum:
[tex]148[/tex]
Note: you have an extra parenthesis at the end, and none of the options meets the result. I'm afraid that there's a typo in the question, but this should still give you a valid strategy to solve the actual exercise.