Question

evaluate without computing their squares
${25}^{2} - {24}^{2}$

Answer 1

here we have 25^2 - 24^2

therefore we know that a^2 - b^2 =
(a + b) (a - b)

hence

25^2 - 24^2 = (25 - 24)(25 + 24)
= 1 × 49
= 49

hope it helps