Вправи: 653

653. Спростіть вираз:

1) 1\1-aa + 1\a1-a = 1-a +aa(1- a) = 1a(1-a) = 1a-a;

2) 1\2+xx – 1\x2+x = 2+x -xx(2+ x) = 2x(2+ x) = 22x+ x;

3) 1\x-yx+y – 1\x+yx-y = x-y-x-y(x+ y)(x-y) = -2yx- y = 2yy- x;

4) 13m+3n + 22m+2n = 1\23(m+ n) + 2\32(m+n) = 2+66(m+n) = 86(m+n) = 43(m+n) = 43m+3n;

5) 1a+2 – 12a+22 = 1\2a+ 2 – 12(a+2) = 2-12(a+2) = 12(a+ 2) = 12a+22;

6) x\x-1x+1 – x\x+1x-1 = xx- x- xx- x(x+1)(x-1) = -2xx-1 = 2x1- x;