Final answer:
To subtract x³y²-3xy³+2y²+5 from 5x³y²+4xy³-2x-5y², you subtract the corresponding terms. The difference is 4x³y² + 7xy³ + 7y² - 2x.
Step-by-step explanation:
To subtract x³y²-3xy³+2y²+5 from 5x³y²+4xy³-2x-5y², we simply subtract the corresponding terms. Let's break it down step-by-step:
- Subtract the x³y² terms: 5x³y² - x³y² = 4x³y²
- Subtract the xy³ terms: 4xy³ - (-3xy³) = 7xy³
- Subtract the y² terms: 2y² - (-5y²) = 7y²
- Subtract the x terms: -2x - 0 = -2x
- Put all the terms together: 4x³y² + 7xy³ + 7y² - 2x
Therefore, the difference is 4x³y² + 7xy³ + 7y² - 2x.