Đáp án:
Giải thích các bước giải:
`a) 2x^2-5xy+3y^2`
`= 2x^2 -2xy - 3xy + 3y^2`
`= 2x(x - y) - 3y(2x - y)`
`= (x - y)(2x - 3y)`
`b) x^3+3x^2+3x+2`
`= x^3+3x^2+3x+1+1`
`= (x+1)^3+1^3`
`= (x+1+1)[(x+1)^2-(x+1)+1]`
`= (x+2)-(x^2+2x+1-x-1+1)`
`= (x+2)(x^2+x+1)`
`c) x^3+x^2-x+2`
`=x^3+x^2-x+1+1`
`=(x^3+1)+(x^2-x+1)`
`=(x+1)(x^2-x+1)+(x^2-x+1)`
`=(x^2-x+1)(x+1+1)`
`=(x^2-x+1)(x+2)`
`d) x^3-x^2-4`
`= x^3 − 2 x^2 + x^2 − 4`
`= ( x^3 − 2 x^2 ) + ( x^2 − 4 )`
`= x^2 ( x − 2 ) + ( x − 2 ) ( x + 2 )`
`= ( x^2 + x + 2 ) ( x − 2 )`