Odpowiedź:
1.
[4x³(3x⁵y³)³]/[27(x³y)⁵x²y²] = (4x³ * 3³ * x¹⁵y⁹)/(27 * x¹⁵y⁵ * x²y²)=
= (4x³ * 27 * x¹⁵y⁹)/(27x¹⁵⁺²y⁵⁺²) = (4x³⁺¹⁵ * 27 * y⁹)/(27x¹⁷y⁷) =
= 4x¹⁸y⁹ * 27)/(x¹⁷y⁷ * 27) = 4x¹⁸⁻¹⁷y⁹⁻⁷ =4xy² = 4 * 567 * ( - 5)² =
= 2268 * 25 =56700
2.
2√6(√6 + 2x) - 3x(x² -3√6) = 2 * 6 + 4x√6 - 3x³ + 9x√6 =
= - 3x³ + 13x√6 + 12 = - 3(- √6)³ + 13 * (- √6) * √6 + 12 =
= 3 * 6√6 - 13 * 6 + 12 = 18√6 - 78 + 12 = 18√6 - 66
[4x³(3x^5y³)³]/[27(x³y)^5x²y²] = (4x³ * 27x^15y^9) : (27x^15y^5x²y²) =
= 4x^18y^9 : (x^17y^7) = 4xy² =
dla x = 567 ; y = 5
= 4 * 567 * 5² = 567 * 4 * 25 = 567 * 100 = 56700
2√6(√6 + 2x) - 3x(x² - 3√6) = 2 * 6 + 4x√6 - 3x³ + 9x√6 = 12 + 13x√6 - 3x³ =
dla x = -√6
= 12 - 13 * 6 + 3(√6)³ = 12 - 78 + 3 * 6√6 = -66 + 18√6
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Odpowiedź:
1.
[4x³(3x⁵y³)³]/[27(x³y)⁵x²y²] = (4x³ * 3³ * x¹⁵y⁹)/(27 * x¹⁵y⁵ * x²y²)=
= (4x³ * 27 * x¹⁵y⁹)/(27x¹⁵⁺²y⁵⁺²) = (4x³⁺¹⁵ * 27 * y⁹)/(27x¹⁷y⁷) =
= 4x¹⁸y⁹ * 27)/(x¹⁷y⁷ * 27) = 4x¹⁸⁻¹⁷y⁹⁻⁷ =4xy² = 4 * 567 * ( - 5)² =
= 2268 * 25 =56700
2.
2√6(√6 + 2x) - 3x(x² -3√6) = 2 * 6 + 4x√6 - 3x³ + 9x√6 =
= - 3x³ + 13x√6 + 12 = - 3(- √6)³ + 13 * (- √6) * √6 + 12 =
= 3 * 6√6 - 13 * 6 + 12 = 18√6 - 78 + 12 = 18√6 - 66
Odpowiedź:
[4x³(3x^5y³)³]/[27(x³y)^5x²y²] = (4x³ * 27x^15y^9) : (27x^15y^5x²y²) =
= 4x^18y^9 : (x^17y^7) = 4xy² =
dla x = 567 ; y = 5
= 4 * 567 * 5² = 567 * 4 * 25 = 567 * 100 = 56700
2√6(√6 + 2x) - 3x(x² - 3√6) = 2 * 6 + 4x√6 - 3x³ + 9x√6 = 12 + 13x√6 - 3x³ =
dla x = -√6
= 12 - 13 * 6 + 3(√6)³ = 12 - 78 + 3 * 6√6 = -66 + 18√6
Szczegółowe wyjaśnienie: