[latex]\\ 1. \\ a) \\ x=-1 \ y=2 \\ -3xy^3+3xy-(2xy^3-xy)=\\-3xy^3+3xy-2xy^3+xy=-5xy^3+4xy=\\ -5 cdot(-1) cdot 2^3+4 cdot (-1) cdot 2 =5 cdot 8-8=40-8=32[/latex] [latex]\\ b) \\ a=-frac{1}{7} \\ -(-48a^2+10a)-(-4a-a^2)=\\48a^2-10a+4a+a^2=49a^2-6a= \\ 49 cdot (-frac{1}{7})^2-6 cdot (-frac{1}{7})=\\=1+frac{6}{7}=1 frac{6}{7}[/latex] [latex]\\ c) \\ -(12sqrt{c}-c)+(-8c+13 sqrt{c})=\\ =-12sqrt{c}+c-8c+13sqrt{c}=sqrt{c}-7c= \\ =sqrt{4}-7 cdot 4=2-28=-26[/latex]
a) -3xy³ + 3xy - (2xy³ - xy) = -3xy³ + 3xy - 2xy³ + xy = -5xy³ + 4xy -5xy³ + 4xy = -5 * (-1) * 2³ + 4 * (-1) * 2 = 5 * 8 - 8 = 40 - 8 = 32 b) -(-48a² + 10a) - (-4a - a²) = 48a² - 10a + 4a + a² = 49a² - 6a 49a² - 6a = 49 * ( -1/7)² - 6 *(-1/7) = 49 * 1/49 + 6/7 = 1 + 6/7 = 1 i 6/7 c) -(12√c -c) + (-8c + 13√c) = -12√c + c - 8c + 13√c = √c - 7c √c - 7c = √4 - 7 * 4= 2 - 28 = - 26