Вправи 101 - 200 » 144

144. Виконайте ділення: 1) (5m-2n)/10k : (5m-2n)/(10k^2 ) = ((5m-2n) •10 • k^2)/(10k • (5m-2n)) = k/1 = k; 2) (p+3)/(p^2- 2p) : (p+3)/(4p-8) = ((p+3)•4(p-2))/(p(p-2)(p+3)) = 4/p; 3) (a^2- b^2)/2ab : (a+b)/ab = (a-b)(a+b)ab/(2ab(a+b)) = (a-b)/2; 4) (a^2- 16)/(a-3) : (a+4)/(a-3) = ((a-4)(a+4)(a-3))/((a-3)(a+4)) = (a-4)/1 = a – 4; 5) (y-9)/(y-8) : (y^2- 81)/(y^2- 16y+64) = ((y-9)(y-8)^2)/((y-8)(y-9)(y+9)) = (y-8)/(y+9); 6) (x^2- 49y^2)/1 : (x-7y)/x = ((x-7y)(x+7y) • x)/(1 • (x-7y)) = x(x + 7y) = x2 + 7xy.