Find a pair of factors for each number using the difference of two squares.

Question

a. 45
b. 77
c. 112

Answer 1

a) 45 = 15 x 3 = (9+6)(9-6) = 81 - 36
= 9^2 - 6^2

b) 77 = 11 x 7 = (9 + 2) (9 - 2)
= 9^2 - 2^2

c) Your turn