If p= 2,q=-3 and r=4, calculate 25r+12q/(pr)(pr)

Answer 1

To calculate \( \frac{25r + 12q}{(pr)(pr)} \) given the values \( p = 2 \), \( q = -3 \), and \( r = 4 \), follow these steps:

1. Compute the numerator:
\[
25r + 12q = 25 \cdot 4 + 12 \cdot (-3)
\]
\[
25r + 12q = 100 + (-36)
\]
\[
25r + 12q = 100 - 36
\]
\[
25r + 12q = 64
\]

2. Compute \( pr \):
\[
pr = 2 \cdot 4 = 8
\]

3. Compute \( (pr)(pr) \) which is \( (pr)^2 \):
\[
(pr)(pr) = 8 \cdot 8 = 64
\]

4. Divide the numerator by the denominator:
\[
\frac{25r + 12q}{(pr)(pr)} = \frac{64}{64} = 1
\]

Therefore, the result is:
\[
\boxed{1}
\]