Question

subtracting polynomials

subtracting polynomials is similar to adding polynomials with one additional rule. if a and b are polynomials, then \\(a - b = a + (-b)\\). the subtraction distributes through the second polynomial

examples: subtract and simplify

\\(7x^3 + 2x^5 - 1 - 5x^4) - (-5 - 3x^4 + 4x^5 + 4x^3)\\

Explanation:

Distribute the negative sign

$$ (7x^3 + 2x^5 - 1 - 5x^4) - (-5 - 3x^4 + 4x^5 + 4x^3) = 7x^3 + 2x^5 - 1 - 5x^4 + 5 + 3x^4 - 4x^5 - 4x^3 $$

Group and combine like terms

$$
LATEXBLOCK0
$$

Answer:

$$-2x^5 - 2x^4 + 3x^3 + 4$$