csedgeman18167 csedgeman18167
  • 18-02-2016
  • Mathematics
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Which is equivalent to (9y2 – 4x)(9y2 + 4x), and what type of special product is it?

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TSO
TSO TSO
  • 18-02-2016
This is an example of the difference of squares.

[tex]a^2 - b^2 = (a-b)(a+b)[/tex]

So to find the product of (9y² – 4x)(9y² + 4x), we use the formula for the difference of squares.

[tex](9y^2 - 4x)(9y^2 + 4x)\\\\=(9y^2)^2 -(4x)^2\\\\=\boxed{\bf{81y^4 - 16x^2}}[/tex]
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