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Answer: The factors would be (5x²-7y)(5x²+7y).

Step-by-step explanation:

Since we have given that

[tex]25x^4-49y^2[/tex]

We just need to factorise the above expression.

So, we can rewrite it as :

[tex](5x^2)^2-(7y)^2[/tex]

Here, we can apply "a^2-b^2=(a+b)(a-b)":

Here, a = 5x²

b = 7y

So, it becomes

[tex](5x^2-7y)(5x^2+7y)[/tex]

Hence, the factors would be (5x²-7y)(5x²+7y).

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