Find the value c that will make 9x^2 +30x+c a perfect square trinomial

Step-by-step explanation:

Given :-

And we need to find out the value of c for which the given trinomial is a perfect square. On looking at the given expression all the terms are having positive signs before them .So we can rewrite it on the basis of ,

Identity :-

Let's try to set the equation on this Identity .

The firsr term is 9x² . We can write it as ,

Hence the middle term here should contain 3 and 2 as their factors. Let's Break the middle term .

Therefore in order to make the whole expression as perfect square 5² must be replaced by c . The expression would become ,

Hence the value of c should be 25 .