hi can you please help me factored form for n^2+16n+64

Question

hero · Answer

Find two numbers $p$ and $q$ such that

$p \times q = 64$
$p + q = 16$

vjordillo · Answer

It is an example of a perfect square trinomial.
So, the factors are (x+8)(x+8)

anonymous · Answer

what about this one  n^2+24n+144

anonymous · Answer

can you explain too please

vjordillo · Answer

*this is true to perfect square trinomials only*
First, 
let y= be a number
(x+y)(x+y)=0
Then, expand the given terms,
$$x ^{2}+2yx+y^2=0$$
Since for a quadratic function 
$$f(x)=Ax ^{2}+Bx+C$$
Your A=1, B=2y and C=y^2

vjordillo · Answer

Your y^2 in your equation is 144, therefore the value of your y=12.
Substituting 12 to the as your b will make 24 as the coefficient of x.
The factors will just be $$(x+12)^{2}$$

vjordillo · Answer

*substituting 12 as your b ...