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Solution 2.1:1h

From Förberedande kurs i matematik 1

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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+25x33x5+(3x5)2=52x32+253x3+5+32x52=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.