Question 686945


Perfect Square Trinomials: These are of the form {{{(x+y)^2 = (x+y)(x+y) = x^2 +2xy+y^2}}}

given:

{{{64x^2 + k*xy + y ^2}}} 

{{{(8x)^2 + k*xy + 1*y ^2}}} ....using a Rule for the Square of a Sum (a + b) ^2 = a ^2 + 2ab + b ^2, where {{{a=8}}} and {{{b=1}}} we can find {{{k}}}

and it is  {{{2*8*1=16}}}

{{{(8x)^2 + 16xy + y ^2}}} 

{{{(8x + y)^2}}} 

{{{(8x + y)(8x + y)}}}