Answer: The factors would be (5x²-7y)(5x²+7y).
Step-by-step explanation:
Since we have given that
\(25x^4-49y^2\)
We just need to factorise the above expression.
So, we can rewrite it as :
\((5x^2)^2-(7y)^2\)
Here, we can apply "a^2-b^2=(a+b)(a-b)":
Here, a = 5x²
b = 7y
So, it becomes
\((5x^2-7y)(5x^2+7y)\)
Hence, the factors would be (5x²-7y)(5x²+7y).