Question

Answer 1

Bài 3:

a. $2x^2-8x+8=2(x^2-4x+4)=2(x-2)^2$
b. $x^3+2x^2+x=x(x^2+2x+1)=x(x+1)^2$

c. $x^3-x=x(x^2-1)=x(x-1)(x+1)$

d. $x^3+1=(x+1)(x^2-x+1)$
e. $x^2-25=x^2-5^2=(x-5)(x+5)$

f. $x^3-9x=x(x^2-9)=x(x^2-3^2)=x(x-3)(x+3)$

g. $x^3-2x^2y+xy^2=x(x^2-2xy+y^2)=x(x-y)^2$

h. $x^2(y-1)-y^2(y-1)=(y-1)(x^2-y^2)=(y-1)(x-y)(x+y)$

k. $4(x-1)+x^2(1-x)=4(x-1)-x^2(x-1)$

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