Factor polynomial $$ 1-144x^{4}y^{2} $$
Answer
$$ 1-144x^{4}y^{2} = (1+12x^{2}y)(1-12x^{2}y) $$
Explanation
Rewrite $ 1-144x^4y^2 $ as:
$$ \color{blue}{ 1-144x^4y^2 = (1)^2 - (12x^2y)^2 } $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = 1 $ and $ II = 12x^2y $ , we have:
$$ 1-144x^4y^2 = (1)^2 - (12x^2y)^2 = ( 1-12x^2y ) ( 1+12x^2y ) $$This page was created using
Polynomial Factoring Calculator