Answer :
The given expression is
[tex]4+\lbrack4(5-2)\rbrack\colon2[/tex]First, we solve the difference inside the parenthesis.
[tex]4+\lbrack4(3)\rbrack\colon2[/tex]Then, we solve the product inside the brackets.
[tex]4+\lbrack12\rbrack\colon2[/tex]Then, we solve the division
[tex]4+6[/tex]At last, we sum
[tex]10[/tex]