Respuesta :
Answer:
The completely factored polynomial is:
⇒ [tex]-4a^2b^4(2a^2b-1)[/tex]
Step-by-step explanation:
Given polynomial:
[tex]-8a^4b^5+4a^2b^4[/tex]
To factor the given polynomial completely.
Solution:
In order to factor the given polynomial, we will find the greatest common factor of the terms and then factor them out by dividing the term by its G.C.F.
The factors can be listed as:
[tex]-8a^4b^5=-1\times 2\times 2\times 2\times a\times a\times a\times a\times b\times b \times b\times b \times b[/tex]
[tex]4a^2b^4=2\times 2\times a\times a\times b\times b \times b\times b[/tex]
From the factors listed the GCF can be given as = [tex]2\times 2 \times a\times a \times b \times b\times b \times b[/tex]
GCF = [tex]4a^2b^4[/tex]
Factoring out the GCF.
[tex]4a^2b^4(-2a^2b+1)[/tex]
The above expression can be simplified by factoring out -1.
[tex]-4a^2b^4(2a^2b-1)[/tex] (Answer)
