Question

Subtract. (3x² + 2 - x³) - (-5x³ + 2x² + 1) Express the answer in standard form.

a) 6x³ - x² - 1
b) -6x³ + x² + 1
c) 6x³ - 3x² - 1
d) -6x³ - 3x² + 1

Answer 1

To subtract the given expressions, combine like terms. The answer is 6x³ - x² - 1.

Step-by-step explanation:

To subtract the given expressions, we need to combine like terms. Start by subtracting the coefficients of the same power of x. In this case, we have:

(3x² + 2 - x³) - (-5x³ + 2x² + 1)

Distribute the negative sign when subtracting -5x³:

3x² + 2 - x³ + 5x³ - 2x² - 1

Combine like terms:

(3x² - 2x²) + (5x³ - x³) + (2 - 1)

Which simplifies to:

6x³ - x² - 1