Відповіді до вправ § 1 - § 12: 4.33

4.33 Спростіть вираз:

1) x-1x2- x+1 + 2- xx3+1 = x-1x2- x+1 + 2-xx+1(x2- x+1) = x2- x+2-xx+1(x2- x+1) = x2- x+1x+1(x2- x+1) = 1x+1;

2) 2mm-5 – 5m+5 + 2m225- m2 = 2mm-5 – 5m+5 – 2m2m-5(m+5) = 2mm+5- 5m-5- 2m2m-5(m+5) = 2m2+ 10m-5m+25-2m2m-5(m+5) = 5m+25m-5(m+5) = 5(m+5)m-5(m+5) = 5m-5;

3) 6m2- 6m + m-126m-36 = 6m(m-6) + m-126(m-6) = 36+ m2- 12m6m(m-6) = (m-6)26m(m-6) = m-66m;

4) 32a+6 + a2- a-3a2- 9 – 1 = 32(a+3) + a2- a-3a-3(a+3) – 1 = 3a-3+ 2a2- a-3- 2(a2- 9)2a+3(a-3) = 3a-9+2a2- 2a-6-2a2+ 182a+3(a-3) = a+32a+3(a-3) = 12(a-3).