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F.2 Maths polynomial

發問:

12x^2 times y^2 add 4xy^3 reduce with 6x^2 times y=? Thank you!

最佳解答:

(12x^2)(y^2) + 4xy^3 - (6x^2)(y) = 12(xy)^2 + (4xy)(y^2) - (6xy)(x) = (2xy)(6xy + 2y^2 - 3x) = (2xy)[(2y(3x+y) - 3x] = (2xy)[(2y(3x+y) - (3x+y) + y] = (2xy)[(2y-1)(3x+y) + y)]

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