Question

1. \\(\frac{x - 4y}{15y^3} - \frac{x + 3y}{15y^3}\\)

Explanation:

Step1: Combine the fractions

Since the denominators are the same ($15y^3$), we can combine the numerators: $\frac{(x - 4y) - (x + 3y)}{15y^3}$

Step2: Simplify the numerator

Expand and simplify the numerator: $(x - 4y) - (x + 3y) = x - 4y - x - 3y = -7y$

Step3: Write the simplified fraction

Substitute the simplified numerator back into the fraction: $\frac{-7y}{15y^3}$

Step4: Reduce the fraction

Cancel out the common factor $y$ (assuming $y
eq 0$): $\frac{-7}{15y^2}$

Answer:

$\boxed{-\dfrac{7}{15y^2}}$