Can you explain briefly why are these right?

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Required information Ch 05 Sec 1 Ex 04 MAIN (DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS) NOTE: This is a multipart question. Once an answer is submitted, you will be unable to return to this part. \"(11+ 1') -7 r). ) for the positive integer n. Let P(n) be the statementthat 13 + 23 + 33 + + n3 = ( Ch 05 Sec 1 Ex 04 (c) - Sum of Cubes - Inductive Step What do you need to prove in the inductive step? (You must provide an answer before moving to the next part.) If 13 + 23+ ...+ 13 = k(k+1) 2 , then 13 + 23 + ...+ 3 + (k+ 1)3 = (k+ 1)(k+2) 2Required information Ch 05 Sec 1 Ex 04 MAIN (DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS) NOTE: This is a multipart question. Once an answer is submitted, you will be unable to return to this part. "(11+ 1'] 7 Let P(n) be the statement that 13 + 23 + 33 + + n3 = ( ) for the positive integer n. Ch 05 Sec 1 Ex 04 (d) - Sum of Cubes - Completing the Inductive Step Complete the inductive step, identifying where you use the inductive hypothesis (You must provide an answer before moving to the next part.) Replacing the quantity in brackets on the left-hand side of part (c) by what it equals by virtue of the inductive hypothesis, we have . 2 ~ 1 .2 v v , 2 (MATH) +(k+1)\" =(k+1)'(' HP\") = (W) as desired. A. 4 A