QuestionAugust 25, 2025

Simplify the expression. (x^3+10x^2)/(x^2)+5x-50 Select the correct choice below and fill in any answer boxes in your choice. A. (x^3+10x^2)/(x^2)+5x-50=square (Simplify your answer.) B. The expression cannot be simplified

Simplify the expression. (x^3+10x^2)/(x^2)+5x-50 Select the correct choice below and fill in any answer boxes in your choice. A. (x^3+10x^2)/(x^2)+5x-50=square (Simplify your answer.) B. The expression cannot be simplified
Simplify the expression.
(x^3+10x^2)/(x^2)+5x-50
Select the correct choice below and fill in any answer boxes in your choice.
A. (x^3+10x^2)/(x^2)+5x-50=square  (Simplify your answer.)
B. The expression cannot be simplified

Solution
4.4(298 votes)

Answer

B. The expression cannot be simplified. Explanation 1. Factor the numerator The numerator x^3 + 10x^2 can be factored as x^2(x + 10). 2. Factor the denominator The denominator x^2 + 5x - 50 does not factor nicely into integers, so it remains as is. 3. Simplify the expression Since there are no common factors between the numerator x^2(x + 10) and the denominator x^2 + 5x - 50, the expression cannot be simplified further.

Explanation

1. Factor the numerator<br /> The numerator $x^3 + 10x^2$ can be factored as $x^2(x + 10)$.<br /><br />2. Factor the denominator<br /> The denominator $x^2 + 5x - 50$ does not factor nicely into integers, so it remains as is.<br /><br />3. Simplify the expression<br /> Since there are no common factors between the numerator $x^2(x + 10)$ and the denominator $x^2 + 5x - 50$, the expression cannot be simplified further.
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