phan tich da thuc thanh nhan tu a) 49.(y-4)^2-9.(y+2)^2 b)x^4+x^3+x+1 C)x^2y+xy^2-x-y

phan tich da thuc thanh nhan tu
a) 49.(y-4)^2-9.(y+2)^2
b)x^4+x^3+x+1
C)x^2y+xy^2-x-y

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  1. `a) 49(y-4)^2 -9.(y+2)^2`

    `=[7(y-4)+3(y+2)][7(y-4)-3(y+2)]`

    `=(7y-28+3y+6)(7y-28-3y-6)`

    `=(10y-22)(4y+34)`

    `=2(5y-11)2(2y+17)`

    `=4(5y-11)(2y+17)`

    `b) x^4 +x^3 +x+1`

    `=(x^4 +x^3)+(x+1)`

    `=x^3 (x+1)+(x+1)`

    `=(x+1)(x^3 +1)`

    `c) x^2 y+xy^2 -x-y`

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

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

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

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  2. `a) 49.(y-4)^2-9.(y+2)^2`

    `=7^2(y-4)^2-3^2(y+2)^2`

    `=(7y-28)^2-(3y+6)^2`

    `=(7y-28-3y-6)(7y-28+3y+6)`

    `=(4y-34)(10y-22)`

    `=4(2y-17)(5y-11)`

    `b)x^4+x^3+x+1`

    `=x^3(x+1)+(x+1)`

    `=(x+1)(x^3+1)`

    `=(x+1)(x+1)(x^2-x+1)`

    `=(x+1)^2(x^2-x+1)`

    `C)x^2y+xy^2-x-y`

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

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

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