Originally Posted by

**louis1234** hi,

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