Đáp án:
Giải thích các bước giải:
c) x^2-9=(x-3)(x+3)
(4x-1)^2-4x^2= (4x-1-2x)(4x-1+2x)=(2x-1)(6x-1)
(x+1)^2-(2x-1)^2=(x+1-2x+1)(x+1+2x-1)=(2-x)3x
x^2+4x+4=(x+2)^2
d) 9x^2-6x+1=(3x-1)^2
4x-4-x^2=-(x-2)^2
8x^3-1=(2x-1)(4x^2+2x+1)
8x^3-12x^2y+6xy^2-y^3=(2x-y)^3
e) x^4-2x^3+x^2-2x=x^3(x-2)+x(x-2)=(x^3+x)(x-2)
xy+1-x^2+y=y(x+1)-(x+1)(x-1)=(x+1)(y-x+1)
f) x^2-2x+1-y^2=(x-1)^2-y^2=(x-1-y)(x-1+y)
x^2-2xy+y^2-9z^2=(x-y)^2-9z^2=(x-y-3z)(x-y+3z)
x^2-4xy-z^2+4y^2= (x-2y)^2-z^2=(x-2y-z)(x-2y+z)
g) x(x-1)+x(x+3)=2x(x-1)
3xy^2-6xy+3x=3x(y-1)^2
xy+2x+y+2=y(x+1)+2(x+1)=(y+2)(x+1)
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