Certainly! Let's evaluate the expression [tex]\(-5x^2 - (x + y)\)[/tex] using the given values [tex]\(x = -2\)[/tex] and [tex]\(y = 5\)[/tex].
1. Substitute the values of [tex]\(x\)[/tex] and [tex]\(y\)[/tex] into the expression:
The expression is [tex]\(-5x^2 - (x + y)\)[/tex].
Substituting [tex]\(x = -2\)[/tex] and [tex]\(y = 5\)[/tex], we get:
[tex]\[
-5(-2)^2 - (-2 + 5)
\][/tex]
2. Calculate the square of [tex]\(-2\)[/tex]:
[tex]\[
(-2)^2 = 4
\][/tex]
3. Multiply 4 by [tex]\(-5\)[/tex]:
[tex]\[
-5 \times 4 = -20
\][/tex]
4. Add [tex]\(x\)[/tex] and [tex]\(y\)[/tex]:
[tex]\[
-2 + 5 = 3
\][/tex]
5. Subtract the sum obtained in step 4 from the result in step 3:
[tex]\[
-20 - 3 = -23
\][/tex]
So, the evaluated result of the expression [tex]\(-5x^2 - (x + y)\)[/tex] using [tex]\(x = -2\)[/tex] and [tex]\(y = 5\)[/tex] is [tex]\(-23\)[/tex].
