Cho hai đa thức: M = – 3×2 + 5xy2 – 1; N = 3 – 5xy2 – y. a) Tinh M + N b) Tinh M – N 26/07/2021 Bởi Margaret Cho hai đa thức: M = – 3×2 + 5xy2 – 1; N = 3 – 5xy2 – y. a) Tinh M + N b) Tinh M – N
Đáp án: Giải thích các bước giải: a ) M + N = -3$x^{2}$ + 5$xy^{2}$ – 1 + ( 3 – 5$xy^{2}$ – y ) M + N = -3$x^{2}$ + 5$xy^{2}$ – 1 + 3 – 5$xy^{2}$ – y M + N = -3$x^{2}$ + ( 5$xy^{2}$ – 5$xy^{2}$ ) + ( -1 + 3 ) + ( – y ) M + N = -3$x^{2}$ + 2 – y b ) M – N = -3$x^{2}$ + 5$xy^{2}$ – 1 – ( 3 – 5$xy^{2}$ – y ) M – N = -3$x^{2}$ + 5$xy^{2}$ – 1 – 3 + 5$xy^{2}$ + y M – N = -3$x^{2}$ + ( 5$xy^{2}$ + 5$xy^{2}$ ) + ( -1 – 3 ) + y M – N = -3$x^{2}$ + 10$xy^{2}$ – 4 + y Bình luận
`a) M + N = ( – 3x^2+ 5xy^2– 1) + (3 – 5xy^2 – y) ` `= – 3x^2 + 5xy^2 – 1 + 3 – 5xy^2 – y` `= (5xy^2 – 5xy^2) + (– 1 + 3) – 3x^2 – y` `= 2 – 3x^2 – y` `b) M – N = (– 3x^2+ 5xy^2– 1) – (3 – 5xy^2 – y) ` `= – 3x^2 + 5xy^2 – 1 – 3 + 5xy^2 + y` `= (5xy^2 + 5xy^2) + (– 1 – 3) – 3x^2 + y` `= 10xy^2 – 4 – 3x^2 + y` Bình luận
Đáp án:
Giải thích các bước giải:
a ) M + N = -3$x^{2}$ + 5$xy^{2}$ – 1 + ( 3 – 5$xy^{2}$ – y )
M + N = -3$x^{2}$ + 5$xy^{2}$ – 1 + 3 – 5$xy^{2}$ – y
M + N = -3$x^{2}$ + ( 5$xy^{2}$ – 5$xy^{2}$ ) + ( -1 + 3 ) + ( – y )
M + N = -3$x^{2}$ + 2 – y
b ) M – N = -3$x^{2}$ + 5$xy^{2}$ – 1 – ( 3 – 5$xy^{2}$ – y )
M – N = -3$x^{2}$ + 5$xy^{2}$ – 1 – 3 + 5$xy^{2}$ + y
M – N = -3$x^{2}$ + ( 5$xy^{2}$ + 5$xy^{2}$ ) + ( -1 – 3 ) + y
M – N = -3$x^{2}$ + 10$xy^{2}$ – 4 + y
`a) M + N = ( – 3x^2+ 5xy^2– 1) + (3 – 5xy^2 – y) `
`= – 3x^2 + 5xy^2 – 1 + 3 – 5xy^2 – y`
`= (5xy^2 – 5xy^2) + (– 1 + 3) – 3x^2 – y`
`= 2 – 3x^2 – y`
`b) M – N = (– 3x^2+ 5xy^2– 1) – (3 – 5xy^2 – y) `
`= – 3x^2 + 5xy^2 – 1 – 3 + 5xy^2 + y`
`= (5xy^2 + 5xy^2) + (– 1 – 3) – 3x^2 + y`
`= 10xy^2 – 4 – 3x^2 + y`