Astudent is asked to calculate the value of 83 using the identity (x − y)3 = x3 − 3x2y + 3xy2 − y3. the student's steps are shown below. step 1: 83 = (10 − 2)3 step 2: = (10)3 − 3(10)2(−2) + 3(10)(−2)2 − (−2)3 step 3: = (1,000) + (600) + (120) + (8) step 4: = 1,728 the correct answer should be 512. in which step did the student make his first error?
step 1
step 2
step 3
step 4