Final answer:
After simplifying the expression by combining like terms, the result is -7x^2 + 11. This cannot be factored further as it has no common factors or recognizable patterns for factoring.
Step-by-step explanation:
The algebraic expression given is somewhat unclear, but let's assume it is intended to be x^2 - 5x^2 - 3(x^2 - 5) - 4. To factor this expression, we first need to simplify it by combining like terms and distributing the multiplication where required.
Let's simplify step by step:
First, combine the x^2 terms:
- x^2 - 5x^2 = -4x^2
- Next, distribute the -3 across the parenthesis:
- -3(x^2 - 5) = -3x^2 + 15
- Now, combine all like terms:
- -4x^2 - 3x^2 - 4 + 15
- Which simplifies to:
- -7x^2 + 11
This is the simplified form of the expression, and it cannot be factored any further because the terms do not have a common factor other than 1, and it's not a difference of squares or any other factorable pattern.
To eliminate terms whenever possible helps to simplify the algebra.
Checking the answer to see if it is reasonable, we can re-expand our simplified expression to ensure it matches the original expression. As there are no further common factors or patterns, we have factored and simplified as much as possible.