Multipe Ito Integrals

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Im working on a Lemma 10.8 in the Book "Numerical Solution of Stochastic Differential Equations by Kloeden And Platen" I have been stuck on one point. Can somebody help me to understand how he moved to second last and the last line in equation (8.3) in the second picture that I have added. Moreover Im adding the picture for Lemma 5.7.3 as well which has been used in the proof.Kindly help me in this regard Thanks in anticipation. enter image description here enter image description here enter image description here enter image description here