Math  /  Algebra

QuestionPerform the operation and simplify the rational expression. 5x221x+45x219x4÷5x211x+2x27x+10\frac{5 x^{2}-21 x+4}{5 x^{2}-19 x-4} \div \frac{5 x^{2}-11 x+2}{x^{2}-7 x+10}

Studdy Solution
Cancel the common factors in the numerator and the denominator:
- Cancel 5x15x - 1 from the numerator and denominator. - Cancel x4x - 4 from the numerator and denominator. - Cancel x2x - 2 from the numerator and denominator.
The simplified expression is:
x55x+1\frac{x - 5}{5x + 1}
The simplified rational expression is:
x55x+1\boxed{\frac{x - 5}{5x + 1}}

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