Question

把下例各式因式分解 x^2+x-2 x^2+2x-3 x^2+2x+1 x^2-4x+4 x^2-3x=2 x^3-2x^2+x x^4-x^2

x^2+x-2
x^2+2x-3
x^2+2x+1
x^2-4x+4
x^2-3x+2
x^3-2x^2+x
x^4-x^2

Answer 1

（x+2)(x-1);
(x+3)(x-1);
(x+1)^2;
(x-2)^2;
(x-1)(x-2);
x(x-1)^2;
(x+1)(x-1)x^2;
就这派悉样尘销乎斗梁了吧。。

Answer 2

x^2+x-2
=(x+2)(x-1)

x^2+2x-3
=(x+3)(x-2)

x^2+2x+1
=(x+1)²

x^2-4x+4
=(x-2)²

x^2-3x+2
=(x-1)(x-2)

x^3-2x^2+x
=x(x²汪中春袭-2x+1)
=x(x-1)²

x^4-x^2
=x²困森山(x²-1)
=x²(x+1)(x-1)

追问

你第二个是错的哦、。

Answer 3

x^2+x-2
=(x+2)(x-1)

x^2+2x-3
=(x+3)(x-1)

x^2+2x+1
=(x+1)^2

x^2-4x+4
=(x-2)^2

x^2-3x+2
=(x-2)(x-1)

x^3-2x^2+x
=x(x^2-2+1)
=x(x-1)^2

x^4-x^2
=x^2(x^2-1)
=x^2(x-1)(x+1)