Subtract 3x^6-4x^5+6x^4-2x^3-8x^2+6x-1 and 3x^6-3x^4

Subtract 3x^6-4x^5+6x^4-2x^3-8x^2+6x-1 and 3x^6-3x^4 Image to Crop

Calculate the difference:
(3x⁶ - 4x⁵ + 6x⁴ - 2x³ - 8x² + 6x - 1) - (3x⁶ - 3x⁴)

Multiply each term in 3x⁶ - 3x⁴ by -1
-1 x (3x⁶ - 3x⁴) = -3x⁶ + 3x⁴

Collect all of our terms:

3x⁶ - 4x⁵ + 6x⁴ - 2x³ - 8x² + 6x - 1 - 3x⁶ + 3x⁴

Now group all of our x⁶terms:
3x⁶ - 3x⁶ = 0x⁶

Now group all of our x⁵terms:
-4x⁵

Now group all of our x⁴terms:
6x⁴ + 3x⁴ = 9x⁴

Now group all of our x³terms:
-2x³

Now group all of our x²terms:
-8x²

Now group all of our x terms:
6x

Now group all of our constant terms:
- 1

- 4x⁵ + 9x⁴ - 2x³ - 8x² + 6x - 1

- 4x⁵ + 9x⁴ - 2x³ - 8x² + 6x - 1

Free Algebra Master (Polynomials) Calculator - Given 2 polynomials this does the following:
1) Polynomial Addition
2) Polynomial Subtraction

Also generates binomial theorem expansions and polynomial expansions with or without an outside constant multiplier.
This calculator has 2 inputs.

Polynomials with matching variables and exponents may be added or subtracted together
ax^2 + bx^2 = (a + b)x^2
ax^2 - bx^2 = (a - b)x^2

For more math formulas, check out our Formula Dossier

addition: math operation involving the sum of elements
algebra master (polynomials)
binomial theorem: algebraic expansion of powers of a binomial
long division: a standard division algorithm suitable for dividing multi-digit numerals that is simple enough to perform by hand.
multiplication: math operation involving the product of elements
polynomial: an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
subtraction: math operation involving the difference of elements