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(1)32x^3-2x(2)-14xy-x^2-49y^2(3)x^3-xy^2(4)x^3-6x^2+9x
题目详情
(1)32x^3-2x (2)-14xy-x^2-49y^2
(3)x^3-xy^2 (4)x^3-6x^2+9x
(3)x^3-xy^2 (4)x^3-6x^2+9x
▼优质解答
答案和解析
(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.
=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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