Сократите дробь:
а) $\frac{4a^3bc^3 - 4a^2b^2c^2 + ab^3c}{26a^3c - 13a^2b}$;
б) $\frac{40x^2y^6z^4 + 8x^4y^3z^4}{2x^5y^4z + 20x^3y^7z + 50xy^{10}z}$;
в) $\frac{36x^2y - 12xy^3}{27x^4yz - 18x^3y^3z + 3x^2y^5z}$;
г) $\frac{6a^4b^4c^{11} + 24a^4b^4c^7d^4 + 24a^4b^4c^3d^8}{6a^5b^3c^5d^4 + 3a^5b^3c^9}$.
$\frac{4a^3bc^3 - 4a^2b^2c^2 + ab^3c}{26a^3c - 13a^2b} = \frac{abc(4a^2c^2 - 4abc + b^2)}{13a^2(2ac - b)} = \frac{bc(2ac - b)^2}{13a(2ac - b)} = \frac{bc(2ac - b)}{13a}$
$\frac{40x^2y^6z^4 + 8x^4y^3z^4}{2x^5y^4z + 20x^3y^7z + 50xy^{10}z} = \frac{8x^2y^3z^4(5y^3 + x^2)}{2xy^4z(x^4 + 10x^2y^3 + 25y^6)} = \frac{4xz^3(5y^3 + x^2)}{y(x^2 + 5y^3)^2} = \frac{4xz^3}{y(x^2 + 5y^3)}$
$\frac{36x^2y - 12xy^3}{27x^4yz - 18x^3y^3z + 3x^2y^5z} = \frac{12xy(3x - y^2)}{3x^2yz(9x^2 - 6xy^2 + y^4)} = \frac{4(3x - y^2)}{xz(3x - y^2)^2} = \frac{4}{xz(3x - y^2)}$
$\frac{6a^4b^4c^{11} + 24a^4b^4c^7d^4 + 24a^4b^4c^3d^8}{6a^5b^3c^5d^4 + 3a^5b^3c^9} = \frac{6a^4b^4c^3(c^8 + 4c^4d^4 + 4d^8)}{3a^5b^3c^5(2d^4 + c^4)} = \frac{2b(c^4 + 2d^4)^2}{ac^2(2d^4 + c^4)} = \frac{2b(c^4 + 2d^4)}{ac^2}$
Пожауйста, оцените решение
