因式分解...

(a)因式分解 x^2-2xy+y^2
Ans:
x^2-2xy+y^2
=(x-y)^2//

(b)由此化簡 x^2-2x(x+1)+(x+1)^2

Ans:
x^2-2x(x+1)+(x+1)^2
=[x-(x+1)]^2
=(x-x-1)^2
=1//
(a)因式分解x^3-8
Ans:
x^3-8
=x^3-2^3
=(x-2)(x^2+2x+4)
Ps. I used the formula-->a^3-b^3=(a-b)(a^2+ab-b^2)
b)由此因式分解x^3+2x-12
Ans:
x^3+2x-12
=x^3+2x-8-4
=(x^3-8)+(2x-4)
=(x-2)(x^2+2x+4)+2(x-2)
=(x-2)(x^2+2x+4+2)
=(x-2)(x^2+2x+6)//