Question

subtract \\(5x^4 + 5\\) from \\(16x^4 + 8\\).

Explanation:

Set up the subtraction expression

We translate the verbal phrase "Subtract \(A\) from \(B\)" into the algebraic expression \(B - A\).
Using the Polynomial Subtraction knowledge point:

$$ (16x^4 + 8) - (5x^4 + 5) $$

Distribute the negative sign

We distribute the negative sign to each term inside the second parentheses.
Using the Polynomial Simplification knowledge point:

$$ 16x^4 + 8 - 5x^4 - 5 $$

Group and combine like terms

We group the \(x^4\) terms together and the constant terms together to simplify.
Using the Polynomial Simplification knowledge point:

$$ (16x^4 - 5x^4) + (8 - 5) = 11x^4 + 3 $$

Answer:

Subtract \(5x^4 + 5\) from \(16x^4 + 8\). <blank>\(11x^4 + 3\)</blank>