Question

Evaluate each expression.

$2[{(5-3)}^2+8]+(3-1)÷2$

Short answer

The value of the given expression is $25$.

Step-by-step solution

Step 1. Given information.

We have an expression $2[{(5-3)}^2+8]+(3-1)÷2$.

To find the value of the given expression.

Step 2. BODMAS Rule.

We solve the given expression using the BODMAS Rule.

BODMAS rule decides the order of operations for add, subtract, multiply, divide, etc.

• B-Brackets (do all operations contained in the brackets first)
• O-Orders (powers and square roots, etc.)
• D-Division
• M-Multiplication
• A-Addition
• S-Subtraction

Step 3. Calculation.

$\begin{array}{l}2\left[{\left(5-3\right)}^2+8\right]+\left(3-1\right)÷2\\ =2\left[2^2+8\right]+2÷2\\ =2\left[4+8\right]+1\\ =2\left[12\right]+1\\ =24+1\\ =25\end{array}$

Hence, the value of the given expression is $25$.