Final answer:
To subtract the given equation, remove the parentheses and combine like terms by adding or subtracting coefficients and keeping the same variable and exponent. Finally, rearrange the terms in descending order of exponents.
Step-by-step explanation:
To subtract the given equation, (-7x10 + 2x6 - 3x3) - (-2x10 - x8 + x3 + 2) - (3x10 + 4x6 + 5x4 - x3 - 8), we need to combine like terms. Start by removing the parentheses and remember to distribute the negative sign when subtracting a negative term.
After combining like terms, the equation becomes:
-7x10 + 2x6 - 3x3 + 2x10 + x8 - x3 - 2 - 3x10 - 4x6 - 5x4 + x3 + 8.
Now, simplify the equation further by combining like terms:
-7x10 + 2x10 + 2x6 - 4x6 - 3x3 - x3 + x8 - 5x4 + 8.
Finally, rearrange the terms in descending order of exponents:
-5x10 - 2x6 - 4x6 - 3x3 - x3 + x8 - 5x4 + 8.