Answer:
The expression [tex]9a^{10}+6a^2b^4+b^8[/tex] is equivalent to the given expression.
Step-by-step explanation:
The given expression is
[tex](3a^5+b^4)^2[/tex]
Use algebraic formula:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex](3a^5+b^4)^2=(3a^5)^2+2(3a^5)(b^4)+(b^4)^2[/tex]
[tex](3a^5+b^4)^2=3^2(a^5)^2+6a^5b^4+(b^4)^2[/tex]
Use exponent property:
[tex](a^m)^n=a^{mn}[/tex]
[tex](3a^5+b^4)^2=9a^{10}+6a^5b^4+b^8[/tex]
Therefore expression [tex]9a^{10}+6a^5b^4+b^8[/tex] is equivalent to the given expression.
