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Consider the polynomial p(x)=16x^4 - 81y^4. Which of the following are equivalent expressions?

Sagot :

Answer: (2x^2 - 3y^2)(2x^2 + 3y^2)(4x^2 + 9y^2)

Step-by-step explanation:

Formula to remind: [tex](A^2 - B^2) = (A-B)(A+B)[/tex]

[tex]16x^4 - 81y^4 = (4x^2 - 9y^2)(4x^2 + 9y^2) = (2x^2 - 3y^2)(2x^2 + 3y^2)(4x^2 + 9y^2)[/tex]