Question

Factor the polynomial. 49n^2+168n+144 this factors into:(Answer + Answer)(Answer + Answer)

Answer 1

`(7n+12)\cdot(7n+12)`

Explanation:

We have the following polynomial:

`49n^2+168n+144`

We can see that this is the case of a perfect square trinomial, therefore:

`\begin{gathered} (a+b)^2=a^2+2ab+b^2 \\ \text{ in this case:} \\ a=7n \\ b=12 \\ \text{ therefore:} \\ 49n^2+168n+144=(7n+12)^2 \\ (7n+12)^2=(7n+12)\cdot(7n+12) \end{gathered}`