The given expression 16a2−24a+9 is a quadratic expression. To factor it, we can recognize it as a perfect square trinomial. A perfect square trinomial takes the form (ax+b)2=a2x2+2abx+b2. We need to identify a and b such that the expression matches this form.
Step 1: Identify the Expression
We start with the quadratic expression given by
16a2−24a+9.
Step 2: Recognize the Perfect Square Trinomial
We can observe that this expression can be factored as a perfect square trinomial. A perfect square trinomial has the form