Вправи: 95

95. Виконайте дії:

1) 2\x+1x + 3x-2\xx+1 = 2x+1+ x(3x-2)x(x+1) = 2x+2+3x2-2xx(x+1) = 3x2+2x(x+1);

2) m\m+nn – m\nm+ n = mm+ n- mnn(m+ n) = m2+mn- mnn(m+ n) = m2mn+n2;

3) a\a+3a-3 – 3\a-3a+3 = aa+3-3(a-3)(a-3)(a+3) = a2+3a-3a+9(a-3)(a+3) = a2+9a2-9;

4) c\3c+13c-1 – c\3c-13c+1 = c3c+1- c(3c-1)(3c-1)(3c+1) = 3c2+ c-3c2+ c(3c-1)(3c+1) = 2c9c2-1;

5) x\3y-22y+1 – x\2y+13y-2 = x3y-2- x(2y+1)(2y+1)(3y-2) = 3xy-2x-2xy- x(2y+1)(3y-2) = xy-3x(2y+1)(3y-2);

6) a-b\a+bb – a-b\b a+ b = a- ba+ b- b(a- b)b(a+ b) = a2-b2-ab+ b2b(a+ b) = a2- abba+b2.