To solve the expression \((a^2 + b^2) \cdot \frac{f^2}{y}\) with the given values \(y = 15\) and \(f = 10\), we first need to calculate \(f^2\) and then substitute the values.
Calculate \(f^2\): \[ f^2 = 10^2 = 100 \]
Substitute \(f^2\) and \(y\) into the expression: \[ \frac{f^2}{y} = \frac{100}{15} \]
Next, simplify \(\frac{100}{15}\): \[ \frac{100}{15} = \frac{20}{3} \quad \text{(by dividing both numerator and denominator by 5)} \]
Now we have: \[ \frac{f^2}{y} = \frac{20}{3} \]
So the final expression becomes: \[ (a^2 + b^2) \cdot \frac{20}{3} \]
To provide a numeric result, you'll need to substitute specific values for \(a\) and \(b\). Can you provide values for \(a\) and \(b\)?
