Question

1. $(5 - 3x^4) - (3 + x^4)$

Explanation:

Step1: Remove parentheses

To simplify the expression \((5 - 3x^{4})-(3 + x^{4})\), we first remove the parentheses. When we remove the second set of parentheses, we have to distribute the negative sign to both terms inside, so we get \(5 - 3x^{4}-3 - x^{4}\).

Step2: Combine like terms

Now we combine the constant terms and the terms with \(x^{4}\) separately. For the constant terms: \(5-3 = 2\). For the terms with \(x^{4}\): \(-3x^{4}-x^{4}=-4x^{4}\). Then we combine these results to get the simplified expression.

Answer:

\(2 - 4x^{4}\)