Certainly! Let's find the sum of the given expressions step by step.
We start with the expressions:
[tex]\[ \left(x^2 + 4x - 5\right) \][/tex]
and
[tex]\[ \left(-2x^2 + 4\right) \][/tex]
To find their sum, we need to add them together:
[tex]\[ (x^2 + 4x - 5) + (-2x^2 + 4) \][/tex]
Step-by-step, let's combine the like terms:
1. Combine the [tex]\(x^2\)[/tex] terms:
[tex]\[ x^2 + (-2x^2) = -x^2 \][/tex]
2. Combine the [tex]\(x\)[/tex] terms:
[tex]\[ 4x \][/tex]
3. Combine the constant terms:
[tex]\[ -5 + 4 = -1 \][/tex]
Putting these together, we get:
[tex]\[ -x^2 + 4x - 1 \][/tex]
Therefore, the sum of the expressions [tex]\((x^2 + 4x - 5)\)[/tex] and [tex]\((-2x^2 + 4)\)[/tex] is:
[tex]\[ -x^2 + 4x - 1 \][/tex]
