The correct answer is option D (5x-3)(5x+3)(25x2 +9)
What is Biquadratic equation?
- The equation having highest degree 4 is know as biquadratic equation.
How to factorize the Biquadratic equation?
- Convert the equation in perfect square
- The equation will be converted into quadratic equation.
- Factorize the quadratic equation.
How to solve the problem?
The equation is [tex]625x^{4}-81[/tex]
converting this into perfect square will be [tex](25x^{2} -9) (25x^{2}+9)[/tex]
Now Factorizing the equation will be in [tex]a^{2} - b^{2}[/tex] form that is
[tex](5x)^{2} -(3x)^{2} (25x^{2} +9)[/tex]
Now Factorize using the formula [tex](a+b)(a-b)[/tex]
[tex](5x-3)(5x+3)(25x^{2} +9)[/tex]
Hence the option D is correct and rest options are incorrect.
Learn more about Factorization below.
https://brainly.com/question/11434122
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