Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary: 16a^{4}-81b^{4}

Jerold

Jerold

Answered question

2021-05-01

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
16a481b4

Answer & Explanation

Clara Reese

Clara Reese

Skilled2021-05-02Added 120 answers

Step 1
Given that :
The polynomial is 16a481b4.
Step 2
By using a formula,
Difference of two square formula:
x2y2=(x+y)(xy)
Step 3
To find the factors of the above polynomial :
Consider the polynomial,
16a481b4=(4a2)2(9b2)2
=(4a2+9b2)(4a29b2)...(x2y2=(x+y)(xy))
=(4a2+9b2)((2a)2(3b)2)
=(4a2+9b2)(2a+3b)(2a3b)...(x2y2=(x+y)(xy))
Therefore,
Factors of the polynomial 16a481b4=(4a2+9b2)(2a+3b)(2a3b)

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?