To subtract the binomials \((5a - 7b) - (2a - 5b)\), you need to distribute the negative sign through the second binomial and then combine like terms. Here's the step-by-step process:1. **Distribute the Negative Sign:** \[ (5a - 7b) - (2a - 5b) = 5a - 7b - 2a + 5b \]2. **Combine Like Terms:** - Combine the \(a\) terms: \(5a - 2a = 3a\) - Combine the \(b\) terms: \(-7b + 5b = -2b\)So, the result of subtracting the binomials is:\[3a - 2b\]