Question

rewrite the expression completely. perform multiplication \\(dfrac{(2y - 1)(4y - 2)}{(3y - 4)(2y + 1)} cdot dfrac{2y + 1}{2y - 1}\\) enter the result.

Explanation:

Step1: Write as single fraction

$$\frac{(2y-1)(4y-2)(2y+1)}{(3y-4)(2y+1)(2y-1)}$$

Step2: Cancel common factors

Cancel $(2y-1)$ and $(2y+1)$ from numerator and denominator:
$$\frac{4y-2}{3y-4}$$

Step3: Simplify numerator (optional)

Factor 2 from numerator:
$$\frac{2(2y-1)}{3y-4}$$

Answer:

$\frac{4y-2}{3y-4}$ or $\frac{2(2y-1)}{3y-4}$