<PRE><B>Question 190873</B>
{{{25x^4-15x^2+10x^2-6}}} Start with the given expression



{{{(25x^4-15x^2)+(10x^2-6)}}} Group like terms



{{{5x^2(5x^2-3)+(10x^2-6)}}} Factor the GCF from the first group



{{{5x^2(5x^2-3)+2(5x^2-3)}}} Factor the GCF from the second group



{{{(5x^2+2)(5x^2-3)}}} Combine like terms.



So {{{25x^4-15x^2+10x^2-6}}} factors to {{{(5x^2+2)(5x^2-3)}}}</PRE>