Evaluate the following by factorization

59*59-41*41

2 answers

59 * 59 - 41 * 41 = 3481 - 1681 = 1800 =

2 * 900 = 2 * 2 * 450 = 2 * 2 * 2 * 225 =

2 * 2 * 2 * 3 * 75 = 2 * 2 * 2 * 3 * 3 * 25 =

2 * 2 * 2 * 3 * 3 * 5 * 5 =

2 ^ 3 * 3 ^ 2 * 5 ^ 2
59²-41²
=(59+41)(59-41)
=(100)(18)
-1800