Does anyone know how to factorize the following

Bryanna Leon

Bryanna Leon

Answered question

2022-04-13

Does anyone know how to factorize the following expression:
4x4+12x103y23+33x83y43+46x2y2+33x43y83+12x23y103+4y4

Answer & Explanation

Kendall Wilkinson

Kendall Wilkinson

Beginner2022-04-14Added 17 answers

It is possible, but likely messy.
First set z=(xy)23 and divide your expression by y4
We get
4z6+12z5+33z4+46z3+33z2+12z+4
Now divide this by z3 and set t=z+1z
We get
4(z3+1z3)+12(z2+1z2)+33(z+1z)+46
=4(t33t)+12(t22)+33t+46
=4t3+12t2+21t+22
Which is a messy cubic, according to Wolfram Alpha.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?