Factor polynomial $$ x^{4}-x^{2} $$
Answer
$$ x^{4}-x^{2} = x^{2}( x-1 )( x+1 ) $$
Explanation
Step 1 :
After factoring out $ x^{2} $ we have:
$$ x^{4}-x^{2} = x^{2} ( x^{2}-1 ) $$Step 2 :
Rewrite $ x^{2}-1 $ as:
$$ x^{2}-1 = (x)^2 - (1)^2 $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = x $ and $ II = 1 $ , we have:
$$ x^{2}-1 = (x)^2 - (1)^2 = ( x-1 ) ( x+1 ) $$This page was created using
Polynomial Factoring Calculator