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

Consider the polynomial p(x)=16x^4 - 81y^4. Which of the following are equivalent expressions?
asked 160k views
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Consider the polynomial p(x)=16x^4 - 81y^4. Which of the following are equivalent expressions?

asked
User Sitansu
by
7.9k points

1 Answer

5 votes

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

Explanation:

Formula to remind:
(A^2 - B^2) = (A-B)(A+B)


16x^4 - 81y^4 = (4x^2 - 9y^2)(4x^2 + 9y^2) = (2x^2 - 3y^2)(2x^2 + 3y^2)(4x^2 + 9y^2)

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User Angelly
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