Question

Evaluate the expression for x = 4 and y = 5.

6(х2 - у) - y2
ОА. 8
Ов. 41
Ос. 47
OD. 56

Answer 1

`\large\boxed{B). \,41}`

Explanation:

In this question, we would be plugging in the given numbers to the right variables and solving from there.

We know that:

• x = 4
• y = 5

Our equation is:

`6(x^2 -y) - y^2`

When you plug in the numbers, your equation should look like this:

`6(4^2 -5) - 5^2`

Now, you solve:

`6(4^2 -5) - 5^2\\\\\text{Lets start with the number inside the parenthesis}\\4^2\,\text{is the same as 4*4}\\\\6(16 -5) - 5^2\\\\6(11) - 5^2\\\\66-5^2\\\\5^2\,\text{is the same as 5*5}\\\\66-25\\\\\text{Finish by subtracting}\\\\41`

When you're done solving, you should get 41.

This means that B). 41 would be the correct answer.

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!

Answer 2

The correct option is B) 41.

Explanation:

Consider the provided expression.

`6(x^2 - y) - y^2`

Substitute the value of x=4 and y=5 in the above expression and solve.

`6(4^2 - 5) - 5^2`

`6(16 - 5) - 25`

`6(11) - 25`

`66 - 25`

`41`

Hence, the correct option is B) 41.