Q9. - Algebra 1

Question

Evaluate the following expression:

$36-2{\left(1+3\right)}^2$

Step-by-Step Solution

Answer

The algebraic expression is: $36-2{\left(1+3\right)}^2=4$.

Step 1. Given information.

The expression is:

$36-2{\left(1+3\right)}^2$

Step 2. Write the concept.

Use the formula such that, $a^2=a\times a$.

The BODMAS rule is according to the following order to solve the expression:

$\mathrm{Brackets}\to \mathrm{Division}\to \mathrm{Multiplication}\to \mathrm{Addition}\to \mathrm{Subtraction}$

Step 3. Solve the expression.

The expression $36-2{\left(1+3\right)}^2$ can be solved as in below.

$$\begin{gathered} 36-2{\left(1+3\right)}^2=36-2{\left(4\right)}^2 \\ =36-2\times 16 \\ =36-32 \\ =4 \end{gathered}$$