Đáp án:
1.
a, `x^2 - xy + x = x(x - y + 1)`
b, `x^2 - 4x - y^2 + 4`
`= (x^2 - 4x + 4) - y^2`
`= (x - 2)^2 - y^2`
`= (x - 2 - y)(x - 2 + y)`
c, `2x^2 + 5x - 3`
`= 2x^2 - x + 6x - 3`
`= x(2x - 1) + 3(2x - 1)`
`= (2x - 1)(x + 3)`
2.
a, Ta có
`(x + 5)/(3x - 2) = A/[x(3x - 2)]`
`<=> A = (x + 5)/(3x - 2) . x(3x - 2)`
`<=> A = [(x + 5)x(3x - 2)]/[(3x - 2)]`
`<=> A = (x + 5)x`
`<=> A = x^2 + 5x`
b, `(5x + 10)/(4x - 8) . (4 - 2x)/(x + 2)`
`= [(5x + 10)(4 - 2x)]/[(4x - 8)(x + 2)]`
`= [-10(x + 2)(x - 2)]/[4(x + 2)(x - 2)]`
`= (-10)/4`
`= -5/2`
Giải thích các bước giải: