Đáp án:
Giải thích các bước giải:
1) 5x^2. y - 10xy^2
= 5xy.x - 2y .5xy
= 5xy.(x-2y)
2) 4x (2y-z ) +7y (z-2y)
= 4x (2y-z) +7y.[- (2y-z)]
= 4x (2y-z) -7y (2y-z)
= (4x -7y) (2y-z)
3) 3x^3 .y^2 - 6x^2.y^3 +9x^2 .y^2
= x. 3x^2. y^2 - 2y. 3x^2 .y^2+ 3.3x^2.y^2
= 3x^2.y^2 .( x -2y +3)
4) 5x^2 .y^3 -25x^3. y^4 +10x^3.y^3
= 5x^2.y^3 - 5xy . 5x^2 .y^3 + 2x .5x^2.y^3
= 5x^2. y^3 .(1- 5xy +2x)
5) 12x^2.y - 18 xy^2 -30y^2
= 6y. 2x^2 - 3xy . 6y - 5y. 6y
= 6y.( 2x^2 -3xy -5y)
6) 5(x-y) -y(x-y)
= (5-y)(x-y)
7 ) y(x -z ) +7 (z-x)
= y(x-z) +7[-(x-z)]
= y(x-z) -7(x-z)
= (y-7) (x-z)
8) 27x^2 (y-1) -9x^3 (1-y)
= 27x^2 (y-1) -9x^3 [-(y-1)]
= 27x^2 (y-1) -9x^3 (y-1)
= 9x^2 .3 (y-1) - x. 9x^2 (y-1)
= 9x^2 .(3-x)(y-1)
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