Answer :
The three expressions that the given expression is equivalent to are, (5x^2-8)(5x^2+8), [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]
Difference of two square
The standard expression for difference of two square is given as:
a^2- b^2 = (a-b)(a+b)
Given the equation
[tex]25x^4 -64[/tex]
This can also be expressed as:
[tex](5x^2)^2-8^2\\(5x^2-8)(5x^2+8)[/tex]
This expression is also equivalent to [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]
Learn more on difference of two square here: https://brainly.com/question/3189867
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