QuestionAugust 25, 2025

8 (15x^2-x-2)/(5x^2)+13x-6

8 (15x^2-x-2)/(5x^2)+13x-6
8 (15x^2-x-2)/(5x^2)+13x-6

Solution
4.3(332 votes)

Answer

\frac{3x + 1}{x + 3} Explanation 1. Factor the Numerator Factor 15x^2 - x - 2 into (3x + 1)(5x - 2). 2. Factor the Denominator Factor 5x^2 + 13x - 6 into (5x - 2)(x + 3). 3. Simplify the Expression Cancel the common factor (5x - 2) from numerator and denominator.

Explanation

1. Factor the Numerator<br /> Factor $15x^2 - x - 2$ into $(3x + 1)(5x - 2)$.<br /><br />2. Factor the Denominator<br /> Factor $5x^2 + 13x - 6$ into $(5x - 2)(x + 3)$.<br /><br />3. Simplify the Expression<br /> Cancel the common factor $(5x - 2)$ from numerator and denominator.
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