Question

The factors of 25x4 − 49y2 are

Answer 1

Explanation:

`25x^4-49y^2=(5x^2)^2-(7y)^2\\=(5x^2+7y)(5x^2-7y)\\=(5x^2+7y)[(√(5) x)^2-(√(7y) )^2]\\=(5x^2+7y)(√(5) x+√(7y) )(√(5) x-√(7y) )`

Answer 2

1

Explanation:

49 is divisible by 7, 1, 49. 25 is divisible by 5, 1, 25. they are exclusively prime so the highest factor is 1 and the only