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Which is equivalent to (9y2 – 4x)(9y2 + 4x), and what type of special product is it?


81y4 – 16x2, a perfect square trinomial

81y4 – 16x2, the difference of squares

81y4 – 72xy2 – 16x2, a perfect square trinomial

81y4 – 72xy2 – 16x216, the difference of squares

Verified Answer :

frika

Consider the expression \((9y^2- 4x)(9y^2 + 4x) .\) You can see that in both brackets are the same terms \(9y^2\) and \(4x\), but signs are different. So you can use formula for the difference of squares:

\(a^2-b^2=(a-b)(a+b).\)

According to this formula,

\((9y^2-4x)(9y^2+4x)=(9y^2)^2-(4x)^2=9^2\cdot (y^2)^2-4^2\cdot x^2=81y^4-16x^2.\)

Answer: correct choice is B.

Answer:

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Step-by-step explanation:

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