The rational expression $\frac{x^{2}-9 x+20}{x^{2}-3 x-10}$ simplifies to

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∻Solution by Steps∻ ‖ step 1 ⋮ To simplify the rational expression $\frac{x^{2}-9 x+20}{x^{2}-3 x-10}$, we first factor both the numerator and the denominator. ‖ ‖ step 2 ⋮ The numerator $x^{2}-9x+20$ factors to $(x-4)(x-5)$. ‖ ‖ step 3 ⋮ The denominator $x^{2}-3x-10$ factors to $(x-5)(x+2)$. ‖ ‖ step 4 ⋮ Substitute the factored forms into the original expression: $\frac{(x-4)(x-5)}{(x-5)(x+2)}$. ‖ ‖ step 5 ⋮ Cancel the common factor $(x-5)$ from the numerator and the denominator: $\frac{x-4}{x+2}$. ‖ ∻Answer∻ ⚹ $\frac{x-4}{x+2}$ ⚹ ∻Key Concept∻ ⚹Simplifying Rational Expressions⚹ ∻Explanation∻ ⚹To simplify a rational expression, factor both the numerator and the denominator, then cancel any common factors.⚹◊What is the simplified form of the rational expression $\frac{x^{2}-9 x+20}{x^{2}-3 x-10}$?⍭ Generate me a similar question◊

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