计算(1) (2a+3b)(3a-2b)-6(a+b)(a-b) (2) [(-3x^2y)^2*xy^2-x^2y*(3xy^2)^3*1/2y]除以9x^4y^4 10
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(1) (2a+3b)(3a-2b)-6(a+b)(a-b)
= 6a^2-4ab+9ab-6b^2-6a^2+6b^2
= 5ab
(2) [(-3x^2y)^2*xy^2-x^2y*(3xy^2)^3*1/2y]除以9x^4y^4
= [9x^4y^2*xy^2-x^2y*27x^3y^6*1/2y]除以9x^4y^4
= [9x^5y^4-27/2x^5y^8]除以9x^4y^4
= 9x^4y^4[x-3/2xy^4] / 9x^4y^4
= x-3/2xy^4
= 6a^2-4ab+9ab-6b^2-6a^2+6b^2
= 5ab
(2) [(-3x^2y)^2*xy^2-x^2y*(3xy^2)^3*1/2y]除以9x^4y^4
= [9x^4y^2*xy^2-x^2y*27x^3y^6*1/2y]除以9x^4y^4
= [9x^5y^4-27/2x^5y^8]除以9x^4y^4
= 9x^4y^4[x-3/2xy^4] / 9x^4y^4
= x-3/2xy^4
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