1 Phân tích đa thức thành nhân tử ( nhóm nhiều hạng tử) a, x(x-y)+x-y b, 2x+2y-x(x+y) c, 5x^2-5xy-10x+10y d, 4x^2+8xy-3x-6y e, 2x^2+2y

0 bình luận về “1 Phân tích đa thức thành nhân tử ( nhóm nhiều hạng tử) a, x(x-y)+x-y b, 2x+2y-x(x+y) c, 5x^2-5xy-10x+10y d, 4x^2+8xy-3x-6y e, 2x^2+2y”

1. `#DyHungg`

   `a) x(x-y)+x-y`

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

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

    ……..

   `b) 2x+2y-x(x+y)`

   `=2(x+y)-x(x+y)`

   `=(x+y)(2-x)`

   ………..

   `c) 5x²-5xy-10x+10y`

   `=5x(x-y)-10(x-y)`

   `=(x-y)(5x-10)`

   `=(x-y)5(x-2)`

   `=5(x-y)(x-2)`

   ……………….

   `d) 4x²+8xy-3x-6y`

   `=4x(x+2y)-3(x+2y)`

   `=(x+2y)(4x-3)`

   ……

   `e) 2x²+2y²-x²z+z-y²z-2`

   `=(-x²z+2x²)+(-y²z+2y²)+(z-2)`

   `=-x²(x-2)-y²(x-2)+(z-2)`

   `=(z-2)(-x²-y²-1)`

   ……..

   `13,5xx5,8-8,3xx4,2-5,8xx8,3+4,2xx13,5`

   `=13,5(5,8+4,2)-8,3xx(4,2+5,8)`

   `=13,5xx10-8,3xx10`

   `=10xx(13,5-8,3)`

   `=10xx5,2=52`

   Bình luận

2. Bài `1:`

   `a) x . (x-y) + (x-y)`

   ` = [x . (x-y)]  + (x-y)`

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

   `b) 2x + 2y – x . (x+y)`

   ` = (2x+2y) – x . (x+y)`

   ` = 2 . (x+y) – x . (x+y)`

   ` = (2-x) . (x+y)`

   `c) 5x^2 – 5xy – 10x + 10y`

   ` = (5x^2 – 5xy) – (10x – 10y)`

   ` = 5x . (x-y) – 10 . (x-y)`

   ` = (5x – 10) . (x-y)`

   ` = 5.  (x-2) . (x-y)`

   `d) 4x^2 + 8xy – 3x – 6y`

   `= (4x^2 + 8xy) – (3x + 6y)`

   ` = 4x . (x + 2y) – 3 . (x+2y)`

   ` = (4x-3) . (x+2y)`

   `e) 2x^2 + 2y^2 – x^2z + z – y^2z – 2`

   ` = (2x^2 + 2y^2) – (x^2z + y^2z) + (z-2)`

   ` = 2 . (x^2 + y^2) – z . (x^2 + y^2) + (z-2)`

   ` = (2-z) . ( x^2 + y^2) – (2-z)`

   ` = (2-z) . (x^2 + y^2 – 1)`

   Bài `2:`

   `13,5 . 5,8 – 8,3 . 4,2 – 5,8 . 8,3 + 4,2 . 13,5`

   ` = (13,5 . 5,8 – 5,8 . 8,3) + (4,2 . 13,5 – 4,2 . 8,3)`

   ` = 5,8 . (13,5 – 8,3) + 4,2 . (13,5 – 8,3)`

   ` = (13,5 – 8,3) . (5,8 + 4,2)`

   ` = 5,2 . 10`

   `  = 52`

   Bình luận