how to factorize this expression?
x^4 + x^2 + 1
actually i know how to factorize, but would like to know there is only one answer to that. I first take out x^2 as common factor to factorize the three terms, then use the identities (a+b)^2 = a^2 + 2ab + b^2 and
a^2 - b^2 = (a - b)(a + b) to factorize
is there any other answer ? will the factorized expression be unique?
2. Another question
I really don't know how to factorize the following expression, after a long time of try
I hope to understand the "techniques" of factorization, instead of just knowing how to do. Thanks all!!!!
acx^2 + (ad + bc)xy - bdy^2
the question is correctly typed, only x and y has power of 2
P.S. In the factoralization of polynomial, two factors says to be "equivalent" if for some nonzero constant ,not exactly !
2.Same question as red_dog