Question

¶\solve the quadratic equation 25m2=9 by factorization

Answer 1

25m2 = 9

25m2 - 9 = 0

(5m)2 - (3)2 = 0 (like a2 - b2 = (a-b)*(a+b))

(5m - 3)*(5m + 3) = 0

Then m = 3/5 or -3/5

Answer 2

$25 {m}^{2} = 9 \\ 25 {m}^{2} - 9 = 0 \\ (5m) {}^{2} - (3) {}^{2} = 0 \\ (5m + 3)(5m - 3) = 0 \\ m = \frac{ 3}{5} \: or \: - \frac{3}{5}$