Question

Factor completely 49x2 − 25. (7x + 5)(7x − 5) (7x − 5)(7x − 5) (7x + 1)(7x − 25) (7x − 1)(7x − 25)

Answer 1

The answer is (7x + 5)(7x - 5).

Since the equation is a difference of two squares, then the answer'll be in the format (ax - b)(ax + b), where the equation is a^2 x^2 - b^2



`49x^(2)-25\\\\\sqrt{a^(2)}=√(49)=\pm7\\\sqrt{b^(2)}=√(25)=\pm5\\\\(ax+b)(ax-b)\\\\(7x+5)(7x-5)`