Subtract polynomials
(4x^4+9x^3-7)-(6x^2-3x+5)
(4x^4+9x^3-7)-(6x^2-3x+5)
4x^4 + 9x^3 - 7 - 6x^2 + 3x - 5
4x^4 + 9x^3 - 6x^2 + 3x - 7 - 5
4x^4 + 9x^3 - 6x^2 + 3x - 12
To subtract polynomials, you need to combine like terms.
Given the expression: (4x^4+9x^3-7)-(6x^2-3x+5)
Let's break it down step by step:
Step 1: Distribute the negative sign to the second polynomial. This means changing the signs of each term within the parentheses:
(4x^4+9x^3-7) - (6x^2-3x+5) = 4x^4 + 9x^3 - 7 - 6x^2 + 3x - 5
Step 2: Group the like terms together. Like terms are terms with the same variables raised to the same power:
4x^4 + 9x^3 - 7 - 6x^2 + 3x - 5 can be rearranged as:
(4x^4) + (9x^3) + (-6x^2) + (3x) + (-7) + (-5)
Step 3: Add or subtract the coefficients of the like terms:
4x^4 + 9x^3 - 6x^2 + 3x - 7 - 5 = 4x^4 + 9x^3 - 6x^2 + 3x - 12
Therefore, the resulting subtraction of the polynomials (4x^4+9x^3-7) - (6x^2-3x+5) is:
4x^4 + 9x^3 - 6x^2 + 3x - 12