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576200316
@576200316
July 2022
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Упростите выражение:
1)(x-2)(x^2+2x+4)-(1+x)(x^2-x+1)
2)(x-3)(x^2+3x+9)-x(x+1)(x-1)
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Dимасuk
Verified answer
По формуле разности и суммы кубов:
a³ + b³ = (a + b)(a² - ab + b²) и a³ - b³ = (a - b)(a² + ab + b²)
1) (x - 2)(x² + 2x + 4) - (1 + x)(x² - x + 1) = x³ - 8 - 1 - x³ = -9
2) (x - 3)(x² + 3x + 9) - x(x + 1)(x - 1) = x³ - 27 - x(x² - 1) = x³ - 27 - x³ + x = x - 27.
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576200316
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Answers & Comments
Verified answer
По формуле разности и суммы кубов:a³ + b³ = (a + b)(a² - ab + b²) и a³ - b³ = (a - b)(a² + ab + b²)
1) (x - 2)(x² + 2x + 4) - (1 + x)(x² - x + 1) = x³ - 8 - 1 - x³ = -9
2) (x - 3)(x² + 3x + 9) - x(x + 1)(x - 1) = x³ - 27 - x(x² - 1) = x³ - 27 - x³ + x = x - 27.