Respuesta :

Answer:

x³ + x²y - 2xy² - xy + y²

Step-by-step explanation:

Given

(x - y)(x² + 2xy - y)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + 2xy - y) - y(x² + 2xy - y) ← distribute both parenthesis

= x³ + 2x²y - xy - x²y - 2xy² + y² ← collect like terms

= x³ + x²y - 2xy² - xy + y²

Answer:

as below

Step-by-step explanation:

(x-y)([tex]x^{2}[/tex]+2xy-y)

[tex]x^{3}[/tex]+2[tex]x^{2}[/tex]y-xy-[tex]x^{2}[/tex]y-2x[tex]y^{2}[/tex]+[tex]y^{2}[/tex]

[tex]x^{3}[/tex]+[tex]x^{2}[/tex]y-xy-2x[tex]y^{2}[/tex]+[tex]y^{2}[/tex]

RELAXING NOICE
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