Question

which expressions are equivalent to
`25{x}^(4) - 64`select three options:
`25 {x}^(4) + 40x - 40x - 64`
`25 {x}^(4) + 13x - 13x - 64`
`(5{x}^(2) + 8)(5 {x}^(2) - 8)`
`( {x}^(2) + 13)( {x}^(2) - 13)`
`(5 {x}^(2) - 8 {)}^(2)`

Answer 1

`25x^4\text{ - 64}`

Step 1: Resolve into exponential form

The algebraic expression above can be re-written in exponential form as:

`\begin{gathered} 5^2.(x^2)^2-8^2 \\ \end{gathered}`

step 2: Express as a product of two squares

Exp