Question

Which expression is equivalent to?

Answer 1

Answer: The last option.

Explanation:

1. You must square the binomial
`(4x^(4)-3x^(2))^(2)`. By definition, you have:

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

2. Therefore:

`9x^(5)+3x[(4x^(4))^(2)-2(4x^(4))(3x^(2))+(3x^(2))^(2)]=9x^(5)+3x[16x^(8)-24x^(6)+9x^(4)]=9x^(5)+48x^(9)-72x^(7)+27x^(5)`

3. When you add like terms, you obtain the following result:

`48x^(9)-72x^(7)+36x^(5)`

4. Therefore, the answer is the last option.