Question

What is the value of the expression (x - y)² when x = 5

and y=-1?
O 4
0 6
O 16
0 24
O 36

Answer 1

`\green{ \underline{ \underline{\mathsf{ {(x - y)}^(2) }}}}`

We have the values of x and y:

• X = 5
• Y = -1

Plug in the values~

`\green{\mathfrak{ {(5 -( - 1))}^(2) }}`

`\green{\mathfrak{ {(5 + 1)}^(2) }}`

Use the identity:

`\red{ \mathsf{(x + y)^(2) = {x}^(2) + {y}^(2) + 2xy }}`

`\green{\mathfrak{ {5}^(2) + {1}^(2) + 2 * 5 * 1 }}`

`\green{\mathfrak{ 25 + 1 + 10 }}`

`\boxed{\green{\mathfrak{36 }}}`