(x ²y ² – $\frac{1}{2}$ xy + 2xy ) (x – 2y)
(x ² – xy + y ² ) (x + y)
(x ²y ² – $\frac{1}{2}$ xy + 2xy ) (x – 2y) (x ² – xy + y ² ) (x + y)
By Quinn
By Quinn
(x ²y ² – $\frac{1}{2}$ xy + 2xy ) (x – 2y)
(x ² – xy + y ² ) (x + y)
Đáp án + Giải thích các bước giải:
`(x^2 y^2 – 1/2 xy + 2xy ) (x – 2y)`
`=x^2 y^2 . x – x^2 y^2 . 2y – 1/2 xy . x – 1/2 xy . (- 2y) + 2xy . x – 2xy . 2y`
`=x^3 y^2 -2 x^2 y^3 -1/2 x^2 y+xy^2+2x^2 y-4xy^2`
`=x^3 y^2 -2 x^2 y^3+3/2 x^2 y-3xy^2`
`(x^2-xy+y^2)(x+y)`
`=x^2 . x+x^2 y-xy . x -xy .y+xy^2 +y^3`
`=x^3+x^2 y-x^2 y-xy^2+xy^2 +y^3`
`=x^3-y^3`
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(x ²y ² – $\frac{1}{2}$ xy + 2xy ) (x – 2y)
=(x²y²−$\frac{1}{2}$xy+2xy)(x−2y)
=x(x²y²−$\frac{1}{2}$xy+2xy) – 2y (x²y²−$\frac{1}{2}$xy+2xy)
=x³y²−2x²y³−12x²y+xy²+2x²y−4xy²
=x³y²-2x²y³-10x²y-3xy²
(x ² – xy + y ² ) (x + y)
= x(x ² – xy + y ²) + y(x ² – xy + y ² )
= x³ – x²y + xy² + x²y – xy² + y³
= x³-y³