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Three algebraic expressions to calculate mathematical problems (Part I) Write out the process of solving problems.
1,x? +y? +4x-6y+ 13=(x+2)? +(y-3)? =0

(x+2)? ≥0; (y-3)? ≥0; For the equation to be established, we only need to solve x+2=0 and y-3=0, and we can get x=-2 and y=3.

xy=-6

2,(3a? b? c^4)? □ 1/3a? b^4)=9a^4b^4c^8/(- 1/3a? b^4)=-27a? c^8

3,(2+ 1)(2? + 1)(2^4+ 1)(2^8+ 1)(2^ 16+ 1)/(2^32- 1)

=(2- 1)(2+ 1)(2? + 1)(2^4+ 1)(2^8+ 1)(2^ 16+ 1)/(2^32- 1)

=(2? - 1)(2? + 1)(2^4+ 1)(2^8+ 1)(2^ 16+ 1)/(2^32- 1)

=(2^4- 1)(2^4+ 1)(2^8+ 1)(2^ 16+ 1)/(2^32- 1)

=(2^8- 1)(2^8+ 1)(2^ 16+ 1)/(2^32- 1)

=(2^ 16- 1)(2^ 16+ 1)/(2^32- 1)

=(2^32- 1)/(2^32- 1)

= 1