因式分解(十字相乘法)
X^3-5^y-24xy^2(X^2-2)^2-(X^2-2)-2(X^2+4X)^2-X^2-4X-204A^2-4AB+B^2-6A+3B-4谢谢啦~...
X^3-5^y-24xy^2
(X^2-2)^2-(X^2-2)-2
(X^2+4X)^2-X^2-4X-20
4A^2-4AB+B^2-6A+3B-4
谢谢啦~ 展开
(X^2-2)^2-(X^2-2)-2
(X^2+4X)^2-X^2-4X-20
4A^2-4AB+B^2-6A+3B-4
谢谢啦~ 展开
2个回答
展开全部
X^3-5^y-24xy^2
=x(x^2-5xy-24y^2)
=x(x+3y)(x-8y)
(X^2-2)^2-(X^2-2)-2
=(x^2-2-2)(x^2-2+1)
=(x^2-4)(x^2-1)
=(x+2)(x-2)(x+1)(x-1)
(X^2+4X)^2-X^2-4X-20
=(x^2+4x-5)(x^2+4x+4)
=(x+5)(x-1)(x+2)^2
4A^2-4AB+B^2-6A+3B-4
=(2a-b)^2-3(2a-b)-4
=(2a-b-4)(2a-b+1)
=x(x^2-5xy-24y^2)
=x(x+3y)(x-8y)
(X^2-2)^2-(X^2-2)-2
=(x^2-2-2)(x^2-2+1)
=(x^2-4)(x^2-1)
=(x+2)(x-2)(x+1)(x-1)
(X^2+4X)^2-X^2-4X-20
=(x^2+4x-5)(x^2+4x+4)
=(x+5)(x-1)(x+2)^2
4A^2-4AB+B^2-6A+3B-4
=(2a-b)^2-3(2a-b)-4
=(2a-b-4)(2a-b+1)
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