9(x+y)^2-49(x-y)^2

jeery_hu2022-10-04 11:39:541条回答

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神雕侠侣网共回答了24个问题 | 采纳率87.5%: 9(x+y)^2-49(x-y)^2
=(3x+3y)^2-(7x-7y)^2
=(3x+3y+7x-7y)*(3x+3y-7x+7y)
=(10x-4y)*(10y-4x)
=4(5x-2y)*(5y-2x); 1年前

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(1)32x^3-2x (2)-14xy-x^2-49y^2 (1)32x^3-2x (2)-14xy-x^2-49y^2 (3)x^3-xy^2 (4)x^3-6x^2+9x 古止1年前1: netrobber 共回答了18个问题 | 采纳率94.4%

(1)32x^3-2x
=2x(16x^2-1)
=2x(4x+1)(4x-1);
(2)-14xy-x^2-49y^2
=-(x^2+14xy+49y^2)
=-(x+7y)^2;
(3)x^3-xy^2
=x(x^2-y^2)
=x(x+y)(x-y);
(4)x^3-6x^2+9x
=x(x^2-6x+9)
=x(x-3)^2.

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