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).