%E2%88%92(%E2%88%928x2%2B4x%2B3)-find-the-difference.jpeg "(4x3−12x2−5)−(−8x2+4x+3) Find The Difference")
Finding the Difference: (4x³ - 12x² - 5) - (-8x² + 4x + 3)
In this problem, we are asked to find the difference between two polynomials: (4x³ - 12x² - 5) and (-8x² + 4x + 3).
Here's how we solve it:
1. Distribute the Negative Sign
Remember that subtracting a polynomial is the same as adding its opposite. So, we can rewrite the problem as:
(4x³ - 12x² - 5) + (8x² - 4x - 3)
2. Combine Like Terms
Now we can combine the terms with the same variable and exponent:
- x³ terms: 4x³
- x² terms: -12x² + 8x² = -4x²
- x terms: -4x
- Constant terms: -5 - 3 = -8
3. Write the Result
Putting the terms together, we get the final answer:
4x³ - 4x² - 4x - 8
Therefore, the difference between the two polynomials is 4x³ - 4x² - 4x - 8.