Вправи: 107

107. Спростіть вираз:

1) bb-6 – 4b-24b-20 = b\4b-5 – 4b-14(b-5) = 4b-(4b-1)4(b-5) = 4b-4b+14(b-5) = 14b-20;

2) 2m – 16m2+8m = 2\m+8m – 16m(m+8) = 2m+8-16m(m+8) = 2m+16-16m(m+8) = 2mm(m+8) = 2m+8;

3) a-32a-6 – a-13a-9 = a-2\3 2(a-3) – a-1\2 3(a-3) = 3a-2-2(a-1)6(a-3) = 3a-6-2a+26(a-3) = a-46a-18;

4) a2+ b22a2+2ab + ba+ b = a2+ b22a(a+ b) + b\2aa+ b = a2+b2+2ab 2a(a+ b) = (a+ b)22a(a+ b) = a+ b2a;

5) b+4ab- b2 – a+4a2-ab = b+ 4\ab(a- b) – a+4\b a(a- b) = ab+4a- ab-4bab(a- b) = 4a-4bab(a- b) = 4(a- b)ab(a- b) = 4ab;

6) c-44c+24 + 4c+9c2+6c = c- 4\c4(c+6) + 4c+ 9\4c(c+6) = cc-4+4(4c+9)4c(c+6) = c3-4c+16c+364c(c+6) = c2+12c+364c(c+6) = (c+6)24c(c+6) = c+64c.