From factoring rules for the difference of squares, it is possible rewrite the equation [tex]16x^4-81[/tex] as (2x-3)(2x+3(4x²+9).
In math, the factoring or factorization is used to write an algebraic expression in factors.
The question gives a polynomial and asks your respective factorization. Note that [tex]16x^4-81[/tex] is a difference of squares. The factoring rules shows that the difference of squares: a² – b² = (a – b)(a + b).
If [tex]16x^4-81[/tex] is a difference of squares. You can rewrite this expression as:
[tex]16x^4-81=(4x^2-9)(4x^2+9)[/tex].
Again, you have another difference of squares: 4x²-9. You can rewrite this expression as: 4x²-9= (2x+3)(2x-3).
Hence, [tex]16x^4-81=(2x-3)(2x+3)(4x+9)[/tex].
Learn more about the factoring here:
brainly.com/question/11579257
Answer:
(2x − 3)(2x + 3)(4x2 + 9)
Step-by-step explanation:
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