Question

Evaluate the expression when $x=3,y=4,\text{\hspace{0.17em}and}z=5$

localid="1648720626886" $y+{(z-1)}^2$

Short answer

The value of expression is20.

Step-by-step solution

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step-2 – Substitute the values

To evaluate the expression$y+{(z-1)}^2$ , substitute 4 for y and 5 for z in the given expression, and simplify further using the order of operations as shown below,

$\begin{array}{c}y+{(z-1)}^2=4+{(5-1)}^2\\ =4+{\left(4\right)}^2\\ =4+16\end{array}$

Step-3 – Add the numbers

To simplify further, add the resulting numbers to get

$\begin{array}{c}y+{(z-1)}^2=4+{(5-1)}^2\\ =4+{\left(4\right)}^2\\ =4+16\\ =20\end{array}$

So, the value of the expression is 20.