phân tích thành nhân tử : a, x-1+x^2-2x+1

Question

phân tích thành nhân tử : a, x-1+x^2-2x+1 b, x^3-2x^2+x c, 12x^2y -18xy^2-30y^2 d, 5(x-y)-y(x-y) e, 11x +11y-x^2-xy

khanhchau · Answer

`a,x-1+x^2-2x+1`

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

`=(x-1)(1+x-1)`

`=x(x-1)`

`b,x^3-2x^2+x`

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

`=x(x-1)^2`

`c,12x^2y-18xy^2-30y^2`

`=6y(2x^2-3xy-5y)`

`d,5(x-y)-y(x-y)`

`=(5-y)(x-y)`

`e,11x+11y-x^2-xy`

`=11(x+y)-x(x+y)`

`=(11-x)(x+y)`

tonga · Answer

a) ${ x-1+x^2-2x+1}$

${ = (x^2-2x+1)+(x-1)}$

${ = (x-1)^2+(x-1)}$

${ = (x-1).(x-1+1)}$

${ = x.(x-1)}$

b) ${ x^3-2x^2+x }$

${ = x.(x^2-2x+1)}$

${= x.(x-1)^2}$

c) ${12x^2y -18xy^2-30y^2}$

${= 6.(2x^2y-3xy^2-10y^2)}$

d) ${ 5(x-y)-y(x-y) }$

${ = (5-y).(x-y)}$

e) ${ 11x +11y-x^2-xy}$

${ = 11.(x+y)-x.(x+y)}$

${ = (11-x).(x+y)}$

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