Question

rewrite the expression completely.
perform multiplication
\\(\frac{(5w - 3)(w + 1)}{(4w + 3)(3w + 3)} \cdot \frac{4w + 3}{3w + 3}\\)
enter the result.

Explanation:

Step1: Write multiplication expression

$$\frac{(5w-3)(w+1)}{(4w+3)(3w+3)} \cdot \frac{4w+3}{3w+3}$$

Step2: Cancel common factors

Cancel $4w+3$ from numerator/denominator:
$$\frac{(5w-3)(w+1)}{(3w+3)^2}$$

Step3: Simplify denominator factor

Factor $3w+3=3(w+1)$:
$$\frac{(5w-3)(w+1)}{[3(w+1)]^2} = \frac{(5w-3)(w+1)}{9(w+1)^2}$$

Step4: Cancel remaining common factor

Cancel $w+1$ from numerator/denominator:
$$\frac{5w-3}{9(w+1)}$$

Answer:

$\frac{5w-3}{9(w+1)}$