Question 1117032
Factorise x^4 - x^2 + 6x - 9.
<pre>{{{x^4 - x^2 + 6x - 9}}}
{{{x^4 - (x^2 - 6x + 9)}}} ------ Separating a TRINOMIAL that can be factored
{{{x^4 - (x - 3)(x - 3)}}}, or {{{x^4 - (x - 3)^2}}}
Now, we can see that we have a DIFFERENCE of TWO SQUARES BINOMIAL, which gives us:
{{{(x^2 - (x - 3))(x^2 + (x - 3))}}}
Correct answer: {{{highlight_green((x^2 - x + 3)(x^2 + x - 3))}}}