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How do you factor the polynomial expression \(16y^4 - 625x^4\)?

Answer :

We have the following:

[tex]16y^4-625x^4​[/tex]

factoring:

[tex]\begin{gathered} (4y^2)^2-(25x^2)^2=\mleft(4y^2+25x^2\mright)\mleft(4y^2-25x^2\mright)=(4y^2+25x^2)\mleft(2y+5x\mright)\mleft(2y-5x\mright) \\ \end{gathered}[/tex]

Therefore, the answer is:

[tex]\mleft(4y^2+25x^2\mright)\mleft(2y+5x\mright)\mleft(2y-5x\mright)[/tex]

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Rewritten by : Jeany