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DanceMan747
@DanceMan747
September 2021
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(х-3)(х во второй степени +7)-(х-2)(х во второй степени -х+5);докажите,что при любом значении переменной значение выражения равно -11.
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AnonimusPro
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(x-3)(x^2+7)-(x-2)(x^2-x+5); x^3+7x-3x^2-21-(x^3-x^2+5x-2x^2+2x-10)=x^3-3x^2+7x-21-(x^3-3x^2+7x-10)=x^3-3x^2+7x-21-x^3+3x^2-7x+10=-21+10=-11
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(x-3)(x^2+7)-(x-2)(x^2-x+5); x^3+7x-3x^2-21-(x^3-x^2+5x-2x^2+2x-10)=x^3-3x^2+7x-21-(x^3-3x^2+7x-10)=x^3-3x^2+7x-21-x^3+3x^2-7x+10=-21+10=-11