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gmany

[tex](x-2)(x^2+3x-5)\qquad\text{use distributive property}\\\\=(x)(x^2)+(x)(3x)+(x)(-5)+(-2)(x^2)+(-2)(3x)+(-2)(-5)\\\\=x^3+3x^2-5x-2x^2-6x+10\qquad\text{combine like terms}\\\\=x^3+(3x^2-2x^2)+(-5x-6x)+10\\\\=\boxed{x^3+x^2-11x+10}[/tex]

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