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Lösung 2.1:1h

Version vom 08:21, 22. Okt. 2008 von Tekbot (Diskussion | Beiträge)

We expand the quadratic with the squaring rule (a+b)2=a2+2ab+b2, where a=5x3 and b=3x5,

(5x3+3x5)2=(5x3)2+2

5x3

3x5+(3x5)2=52x3

2+2

x3+5+32x5

2=25x6+30x8+9x10=9x10+30x8+25x6.

Note: In the last line, we have moved the terms around so that the highest order term, 9x10, comes first, followed by terms of decreasing order.