3, x^2 + 4x -y^2 + 4 4, 3x^2 -3xy + 5y -5x 5, 3x^2 + 6xy + 3y^2 – 3z^2 6, x^2 – xy + x -y 7, 9x – x^3 PTĐTTNT 01/09/2021 Bởi Natalia 3, x^2 + 4x -y^2 + 4 4, 3x^2 -3xy + 5y -5x 5, 3x^2 + 6xy + 3y^2 – 3z^2 6, x^2 – xy + x -y 7, 9x – x^3 PTĐTTNT
`x^2 + 4x -y^2 + 4` `=(x+2)^2-y^2` `=(x+2+y)(x+2-y)` `3x^2-3xy + 5y -5x` `=3(x-y)x-5(x-y)` `=(x-y)(3x-5)` `3x^2 + 6xy + 3y^2 – 3z^2` `=3(x^2+2xy+y^2-z^2)` `=3[(x+y)^2-z^2]` `=3(x+y-z)(x+y+z)` `x^2 – xy + x -y` `=x(x-y)+(x-y)` `=(x-y)(x+1)` `9x – x^3` `=x(9-x^2)` `=x(3+x)(3-x)` Bình luận
Đáp án:3. x²+4x-y²+4 =x²+4x+4-y²=(x+2)²-y²=(x+2-y)(x+2+y) 4. 3x²-3xy+5y-5x=3x(x-y)-5(x-y) =(x-y)(3x-5) 5. 3x²+6xy+3y²-3z²=3(x²+2xy+y²-z²) =3[(x+y)²-z²]=3(x+y-z)(x+y+z) 6. x²-xy+x-y=x(x-y) +(x-y) =(x-y)(x+1) 7. 9x-x³=x(9-x²) =x(3-x)(3+x) Chúc bạn học tốt Giải thích các bước giải: Bình luận
`x^2 + 4x -y^2 + 4`
`=(x+2)^2-y^2`
`=(x+2+y)(x+2-y)`
`3x^2-3xy + 5y -5x`
`=3(x-y)x-5(x-y)`
`=(x-y)(3x-5)`
`3x^2 + 6xy + 3y^2 – 3z^2`
`=3(x^2+2xy+y^2-z^2)`
`=3[(x+y)^2-z^2]`
`=3(x+y-z)(x+y+z)`
`x^2 – xy + x -y`
`=x(x-y)+(x-y)`
`=(x-y)(x+1)`
`9x – x^3`
`=x(9-x^2)`
`=x(3+x)(3-x)`
Đáp án:3. x²+4x-y²+4
=x²+4x+4-y²=(x+2)²-y²=(x+2-y)(x+2+y)
4. 3x²-3xy+5y-5x=3x(x-y)-5(x-y)
=(x-y)(3x-5)
5. 3x²+6xy+3y²-3z²=3(x²+2xy+y²-z²)
=3[(x+y)²-z²]=3(x+y-z)(x+y+z)
6. x²-xy+x-y=x(x-y) +(x-y)
=(x-y)(x+1)
7. 9x-x³=x(9-x²)
=x(3-x)(3+x)
Chúc bạn học tốt
Giải thích các bước giải: