Question
Perform each indicated operation. See Examples 2 through $8 .$$$\frac{3 x^{2}-5 x-2}{y^{2}+y-2} \cdot \frac{y^{2}+4 y-5}{12 x^{2}+7 x+1} \div \frac{5 x^{2}-9 x-2}{8 x^{2}-2 x-1}$$
Step 1
- Factorize \(3x^2 - 5x - 2\): \[ 3x^2 - 5x - 2 = (3x + 1)(x - 2) \] - Factorize \(y^2 + y - 2\): \[ y^2 + y - 2 = (y + 2)(y - 1) \] - Factorize \(y^2 + 4y - 5\): \[ y^2 + 4y - 5 = (y + 5)(y - 1) \] - Factorize \(12x^2 + 7x + 1\): \[ Show more…
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