Eсеп шыгарып берiнш тез арада?

Question

а^2b^2-2а^3b^4-2а^2b^3с-3с+аbс
4х^2-12ху+8x^2
|х-6|=х^2-5х+9|

Answer 1

1) а^2b^2-2а^3b^4-2а^2b^3с-3с+аbс=аb(аb-2a^2b^3-3)+c(ab-2a^2b^3-3)=(ab+c)(ab-2a^2b^3-3)
2) 4х^2-12ху+8x^2=4x^2-12xy+9y^2-y^2=(2x-3y)^2-y^2=(2x-3y-y)(2x-3y+y)=(2x-4y)(2x-2y)=4(x-2y)(x-y)
3) |х-6|=х^2-5х+9|=
(x^2-5x+9)^2=(x-6)^2
(x^2-5x+9)^2-(x-6)^2=0
(x^2-5x+9+x-6)(x^2-5x+9-x+6)=0
(x^2-4x+3)(x^2-6x+15)=0
x^2-4x+3=0
x^2-6x+15=0
x1=1; x2=3