Question

Bài 1: Thực hiện các phép tính sau:

a. (x + 1) (x^2 - x + 1)

b. -2x^3( 2x^3 - 3y + 5yz) 

c. 2/3x^2y . (3xy - x^2 + y)

d. (x - y) (x^2 + xy + y^2)

e. (1/2xy - 1) (x^3 - 2x -6)

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Answer 1

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

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

` = x^3 -x^2 + x - x^2 - x + 1`

`= x^3 + 1`

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`-2x^3( 2x^3 - 3y + 5yz) `

` = -2x^3 . 2x^3 +(-2x^3) . 3y + (-2x^3) . 5yz`

` = -4x^6 +6x^3y -10x^3yz`

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`2/3x^2y . (3xy - x^2 + y)`

` = 2/3x^2y . 3xy + 2/3x^2y . x^2 + 2/3x^2y . y`

` = 2x^3y^2 + 2/3 x^4y + 2/3x^2y^2`

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` (x - y) (x^2 + xy + y^2)`

`= x^3 - y^3`

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`(1/2 xy - 1). (x^3 -2x - 6)`

` = 1/2xy. (x^3 -2x - 6) - 1.(x^3 -2x - 6)`

`= 1/2 x^4y -x^2y - x^3 - 3xy + 2x +  6`

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`#BaoL i n h`