QuestionQuestion 6
Simplify: $\frac{4 x^{2}+9 x-9}{4 x^{2}+13 x+3} \div \frac{4 x^{2}+17 x-15}{x^{2}+3 x-10}$ Question Help: Video
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Studdy Solution
Substitute the factored forms into the expression:
$\frac{(4x - 3)(x + 3)}{(4x + 1)(x + 3)} \times \frac{(x + 5)(x - 2)}{(4x - 3)(x + 5)}$
Cancel the common factors:
- $(4x - 3)$ cancels with $(4x - 3)$. - $(x + 3)$ cancels with $(x + 3)$. - $(x + 5)$ cancels with $(x + 5)$.
The simplified expression is:
$\frac{x - 2}{4x + 1}$