Question

Which expression is equivalent to (3a5 + b4)2

Answer 1

Is it multiple choice or do you have to write a answer?

Answer 2

The expression
`9a^(10)+6a^2b^4+b^8` is equivalent to the given expression.

Explanation:

The given expression is

`(3a^5+b^4)^2`

Use algebraic formula:

`(a+b)^2=a^2+2ab+b^2`

`(3a^5+b^4)^2=(3a^5)^2+2(3a^5)(b^4)+(b^4)^2`

`(3a^5+b^4)^2=3^2(a^5)^2+6a^5b^4+(b^4)^2`

Use exponent property:

`(a^m)^n=a^(mn)`

`(3a^5+b^4)^2=9a^(10)+6a^5b^4+b^8`

Therefore expression
`9a^(10)+6a^5b^4+b^8` is equivalent to the given expression.