We will use PEMDAS rule to simplify the given expression.
PEMDAS rule is given by:
P
-Parentheses first
E
-Exponents (ie Powers and Square Roots, etc.)
MD-Multiplication and Division (left-to-right)
AS
-Addition and Subtraction (left-to-right)
[tex] 25-(\sqrt{16} -1) * (3-9) *2 [/tex]
Step 1: P-parenthesis first.
(3-9) is -6
√16 -1 = 4-1 =3
So new expression becomes : [tex] 25-3*(-6)*2 [/tex]
Step 2:
Multiplying (-3)*(-6)*2
We get +36
So new expression becomes : 25 +36
Step 3: Addition
Adding 25 and 36 we get 61
So final answer is 61 .