a)x^2-3x+xy-3y b)ax+2y+2x+ay c)x^2+xy-7x-7y d)x^2-xy-2x+2y e)5x-5y-ax+ay

a)x^2-3x+xy-3y
b)ax+2y+2x+ay
c)x^2+xy-7x-7y
d)x^2-xy-2x+2y
e)5x-5y-ax+ay

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  1. Đáp án:

    a, x² – 3x + xy – 3y

    = x(x – 3) + y(x – 3)

    = (x – 3)(x + y)

    b, ax + 2y + 2x + ay

    = ax + 2x + ay + 2y

    = x(a + 2) + y(a + 2)

    = (a + 2)(x + y)

    c, x² +xy – 7x – 7y

    = x(x + y) – 7(x + y)

    = (x + y)(x – 7)

    d, x² – xy – 2x + 2y

    = x(x – y) – 2(x – y)

    = (x – y)(x – 2)

    e, 5x – 5y – ax + ay

    = 5(x – y) – a(x – y)

    = (x – y )(5 – a)

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  2. Đáp án:

    a, `x^2 – 3x + xy – 3y`

    `= (x^2 + xy) – (3x + 3y)`

    `= x(x + y) – 3(x + y)`

    `= (x – 3)(x + y)`

    b, `ax + 2y + 2x + ay`

    `= (ax + ay) + (2y + 2x)`

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

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

    c, `x^2 + xy – 7x – 7y`

    `= (x^2 + xy) – (7x + 7y)`

    `= x(x + y) – 7(x + y)`

    `= (x – 7)(x + y)`

    d, `x^2 – xy – 2x + 2y`

    `= (x^2 – xy) – (2x – 2y)`

    `= x(x – y) – 2(x – y)`

    `= (x – 2)(x – y)`

    e, `5x – 5y – ax + ay`

    `= (5x – 5y) – (ax – ay)`

    `= 5(x – y) – a(x – y)`

    `= (5 – a)(x – y)` 

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