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Solution 2.1:1g

From Förberedande kurs i matematik 1

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The expression in the exercise is of the form (ab)2, where a=y2 and b=3x2. With the help of the squaring rule (ab)2=a22ab+b2, we have

(y23x3)2=(y2)22y23x3+(3x3)2=y226x3y2+32x32=y46x3y2+9x6=9x66x3y2+y4.