Question

rewrite the expression completely.
view solution history
perform multiplication
\\(dfrac{(y - 4)(5y + 1)}{(3y - 2)(4y + 5)} cdot dfrac{3y - 2}{20y + 4}\\)
enter the result.

Explanation:

Step1: Factor denominator term

Factor $20y+4$ to $4(5y+1)$
Expression: $\frac{(y-4)(5y+1)}{(3y-2)(4y+5)} \cdot \frac{3y-2}{4(5y+1)}$

Step2: Cancel common factors

Cancel $(3y-2)$ and $(5y+1)$ from numerator/denominator
Expression: $\frac{y-4}{4y+5} \cdot \frac{1}{4}$

Step3: Multiply remaining terms

Multiply the numerators and denominators
Expression: $\frac{y-4}{4(4y+5)}$

Step4: Expand denominator (optional final step)

Distribute the 4 in the denominator
Expression: $\frac{y-4}{16y+20}$

Answer:

$\frac{y-4}{16y+20}$ (or $\frac{y-4}{4(4y+5)}$ is also acceptable)