simplify

[3p/(12pq + 4q)] รท [8p^2/(6p^2 + 2pq)]

asked by guest
on Nov 18, 2024 at 9:30 am



You asked:

Simplify the expression: \(\frac{\frac{3 p}{12 p q + 4 q}}{\frac{8 \cdot {p}^{2}}{6 \cdot {p}^{2} + 2 p q}}\)

MathBot Answer:

Simplified:

\[ \frac{\frac{3 p}{12 p q + 4 q}}{\frac{8 \cdot {p}^{2}}{6 \cdot {p}^{2} + 2 p q}} = \frac{3 \cdot \left(3 p + q\right)}{16 q \left(3 p + 1\right)} \]

Expanded:

\[ \frac{\frac{3 p}{12 p q + 4 q}}{\frac{8 \cdot {p}^{2}}{6 \cdot {p}^{2} + 2 p q}} = \frac{9 p}{48 p q + 16 q} + \frac{3 q}{48 p q + 16 q} \]

Factored:

\[ \frac{\frac{3 p}{12 p q + 4 q}}{\frac{8 \cdot {p}^{2}}{6 \cdot {p}^{2} + 2 p q}} = \frac{3 \cdot \left(3 p + q\right)}{16 q \left(3 p + 1\right)} \]


+ Submit Question