Worked Example 2 Using the standard identities, find the value of 105 . Solution: 105 can be written as (100 + 5)2 Use the identity, (a + b)2 = a2 + 2ab + b2 (100+5)2 =1002 +2×100×5+52 = 10000 + 1000 + 25 = 11025 Page 113 of 177 Algebra I & II