Answer :

Let's solve the expression step-by-step:

The given expression is:
[tex]\[ (125 \div 5) - 9 \times 2 + 4 \times 2 \times 2 + 36 \][/tex]

1. Begin by solving the division:
[tex]\[ 125 \div 5 = 25 \][/tex]

Now the expression looks like this:
[tex]\[ 25 - 9 \times 2 + 4 \times 2 \times 2 + 36 \][/tex]

2. Next, solve the multiplications:
[tex]\[ 9 \times 2 = 18 \][/tex]
[tex]\[ 4 \times 2 \times 2 = 16 \][/tex]

Now the expression looks like this:
[tex]\[ 25 - 18 + 16 + 36 \][/tex]

3. Then, proceed with the subtraction:
[tex]\[ 25 - 18 = 7 \][/tex]

Now the expression looks like this:
[tex]\[ 7 + 16 + 36 \][/tex]

4. Finally, handle the additions:
[tex]\[ 7 + 16 = 23 \][/tex]
[tex]\[ 23 + 36 = 59 \][/tex]

So, the final value of the expression is:
[tex]\[ 59 \][/tex]