Question

1. simplify: $(3x - 4)^2$

Explanation:

Step1: Recall the square of a binomial formula

The formula for \((a - b)^2\) is \(a^2 - 2ab + b^2\). Here, \(a = 3x\) and \(b = 4\).

Step2: Substitute into the formula

First, calculate \(a^2=(3x)^2 = 9x^2\). Then, calculate \(2ab = 2\times(3x)\times4=24x\). Finally, calculate \(b^2 = 4^2 = 16\).

Step3: Combine the terms

Using the formula \((a - b)^2=a^2 - 2ab + b^2\), we substitute the values we found: \((3x - 4)^2=9x^2-24x + 16\).

Answer:

\(9x^2 - 24x + 16\)