Questions: 16a^2-24a+9

Solution Steps

The given expression $16a^2 - 24a + 9$ is a quadratic expression. To factor it, we can recognize it as a perfect square trinomial. A perfect square trinomial takes the form $(ax + b)^2 = a^2x^2 + 2abx + b^2$. We need to identify $a$ and $b$ such that the expression matches this form.

We start with the quadratic expression given by

$$16a^2 - 24a + 9.$$

We can observe that this expression can be factored as a perfect square trinomial. A perfect square trinomial has the form

$$(ax + b)^2 = a^2x^2 + 2abx + b^2.$$

Upon factoring, we find that

$$16a^2 - 24a + 9 = (4a - 3)^2.$$

Final Answer