Question

subtract:
$(7x + 9) - (2x + 4)$

Explanation:

Step1: Remove parentheses

To subtract the two polynomials, we first remove the parentheses. When we have a minus sign in front of the second parentheses, we need to distribute the negative sign to each term inside the second parentheses. So, \((7x + 9) - (2x + 4)\) becomes \(7x + 9 - 2x - 4\).

Step2: Combine like terms

Next, we combine the like terms. The like terms for the \(x\)-terms are \(7x\) and \(-2x\), and the like terms for the constant terms are \(9\) and \(-4\). Combining the \(x\)-terms: \(7x - 2x = 5x\). Combining the constant terms: \(9 - 4 = 5\). So, putting it together, we get \(5x + 5\).

Answer:

\(5x + 5\)