Answer :
Both terms [tex]a^8b^4[/tex] and [tex]a^2b^2[/tex] contain some powers of a and b. So, we can factor the occurrences with the smallest exponent:
[tex]a^8b^4+a^2b^2 = a^2b^2(a^6b^2+1)[/tex]
The complete factored form of the polynomial [tex]a^{8}b^{4} +a^{2}b^{2}[/tex] is [tex]a^{2}b^{2} (a^{6}b^{2} + 1 )[/tex] .
What is a complete factored form?
A complete factored form of expression is the result expression of the polynomial which is expressed as the product of its smallest factor format. We always get a simplified expression of the polynomial in the complete factored form.
How to solve the given expression in factored form?
The given expression is - [tex]a^{8}b^{4} +a^{2}b^{2}[/tex]
Taking the term [tex]a^{2}b^{2}[/tex] common to express the polynomial in factored form,
[tex]a^{8}b^{4} +a^{2}b^{2}[/tex] = [tex]a^{2}b^{2} (a^{6}b^{2} + 1 )[/tex]
Thus, the complete factored form of the polynomial [tex]a^{8}b^{4} +a^{2}b^{2}[/tex] is [tex]a^{2}b^{2} (a^{6}b^{2} + 1 )[/tex] .
To learn more about complete factored form, refer -
https://brainly.com/question/3024511
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