Вправи: 44

44. Скоротіть дріб:

1) m2n-mm2- m3n = m(mn-1)-m2(mn-1) = –1m;

2) 15m3- 15mn10n2- 10nm2 = 15m(m2- n)-10n(m2- n) = –3m2n;

3) m3+ 27m2- 3m+9 = m+3(m2- 3m+9)m2- 3m+9 = m + 3;

4) 20+10a+5a2a3- 8 = 5(4+2a+ a2)a-2 (4+2a+ a2) = 5a-2;

5) 3p+pm-3y-yn7p-7y = p3+n- y(3+n)7(p-y) = 3+n(p-y)7(p-y) = 3+n7;

6) am+an-bm-bnam-an-bm+bn = am+n- b(m+n)am-n- b(m-n) = m+n(a-b)m-n(a-b) = m+nm-n.