Question

What the difference of (4d-6d³+3d²)-(10d³+7d-2)

Answer 1

The difference between (4d-6d³+3d²) and (10d³+7d-2) is determined by reversing the signs of the second polynomial and combining like terms, resulting in the final expression 4d³ - 3d + 3d² + 2.

Step-by-step explanation:

The difference of the expressions (4d-6d³+3d²)-(10d³+7d-2) can be found by subtracting each term in the second expression from the corresponding term in the first. Subtracting polynomials involves reversing the sign of each term in the second polynomial, and then combining like terms with those in the first polynomial.

Here are the steps to find the difference between these two expressions:

1. Rewrite with opposite signs: 4d - 6d³ + 3d² - (-10d³) - 7d + 2.
2. Combine like terms:
3. Combine d³ terms: -6d³ + 10d³ = 4d³.
4. Combine d terms: 4d - 7d = -3d.
5. Combine the constant terms: 2.
6. Write the final expression: 4d³ - 3d + 3d² + 2.

The difference of the two expressions is 4d³ - 3d + 3d² + 2.