Question 739607
<pre>
(p + 6)²

When something is squared it is multiplied by itself.
So write it as

(p + 6)(p + 6)

Then use the "FOIL" method to multiply it out

F = FIRSTS = p·p = p²
O = OUTERS = p·6 = 6p
I = INNERS = 6·p = 6p
L = LASTS = 6·6 = 36

So write the sum of those four terms

p² + 6p + 6p + 36

The two terms in the middle are like terms,
So 6p + 6p = 12p

and the final answer is

p² + 12p + 36

-------------

You can always write the binomial down twice and use FOIL
as above, or you can learn the shortcut rule for squaring
a binomial:

{{{((matrix(2,1,

FIRST,TERM)) + (matrix(2,1,

SECOND,TERM)))^2}}}{{{""=""}}}{{{(matrix(2,1,

FIRST,TERM))^2 +  (matrix(7,1,

2,TIMES,FIRST,TERM,TIMES,SECOND,TERM)) + 



(matrix(2,1,

SECOND,TERM))^2}}} 

Edwin</pre>