Вправи: 97

97. Спростіть вираз:

1) 1\ab(a- b) – 1\ba(a- b) = a- bab(a- b) = 1ab;

2) 5\a-6a + 30a(a-6) = 5a-6+30a(a-6) = 5a-30+30a(a-6) = 5aa(a-6) = 5a-6;

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

4) y\52(y+3) – y\25(y+3) = 5y-2y10(y+3) = 3y10(y+3);

5) 5m+3\3 2(m+1) – 7m+ 4\23(m+1) = 3(5m+3( -2(7m+4)6(m+1) = 15m+9-14m-86(m+1) = m+16(m+1) = 16;

6) c-a\b a(a+ b) + c+b\a b(a+ b) = bc- a+ a(c+ b)ab(a+ b) = bc- ba+ ac+ abab(a+ b) = bc+ acab(a+ b) = c(a+ b)ab(b+ a) = cab.