To evaluate the expression \( 4\cdot(4+(26\cdot2-3)) \), we can follow the order of operations (PEMDAS/BODMAS).
-
Inside the parentheses, start with the multiplication: \[ 26 \cdot 2 = 52 \]
-
Now substitute that back into the expression: \[ 4\cdot(4 + (52 - 3)) \]
-
Next, perform the subtraction: \[ 52 - 3 = 49 \]
-
Substitute this back into the expression: \[ 4\cdot(4 + 49) \]
-
Now, perform the addition inside the parentheses: \[ 4 + 49 = 53 \]
-
Finally, multiply: \[ 4 \cdot 53 = 212 \]
Therefore, the value of the expression is \( 212 \). However, this value is not one of the options provided in the response. Could you please double-check the original expression or clarify what you need?