<PRE><B>Question 54489</B>
1st factor out the GCF (greatest common factor)
2nd use the formula for factoring the sum of two cubes {{{highlight(a^3+b^3=(a+b)(a^2-2ab+b^2))}}}
:
{{{16+2x^3y^3}}}
2 is the GCF, so factor out a 2:
{{{2(8+x^3y^3)}}}
Recognize that the stuff in the parenthsis is the sum of cubes.
{{{2((2*2*2)+(xy*xy*xy))}}}
{{{2((2)^3+(xy)^3)}}} a=2 and b=xy, plug into the formula and you have:
{{{2(2+xy)(2^2-(2)(xy)+(xy)^2)}}}
{{{highlight(2(2+xy)(4-2xy+x^2y^2))}}}
Happy Calculating!!!!</PRE>