Вправи: 65

65. Спростіть вираз:

1) a2a+3 – 9a+3 = a2- 9a+3 = a-3(a+3)a+3 = a-31 = a – 3;

2) tt2- 16 – 4t2- 16 = t-4t2- 16 = t-4t-4(t+4) = 1t+4;

3) m2(m-5)2 – 25(m-5)2 = m2- 25(m-5)2 = m-5(m+5)m-5(m-5) = m+5m-5;

4) 5x+9x2- 1 – 4x+8x2- 1 = 5x+9- (4x+8)x2- 1 = 5x+9-4x-8x2- 1 = x+1x-1(x+1) = 1x-1;

5) b2b+10 + 20b+100b+10 = b2+ 20b+100b+10 = (b+10)2b+10 = b + 10;

6) c2c-7 – 14c-49c-7 = c2-(14c-49)c-7 = c2- 14c+49c-7 = (c-7)2(c-7) = c – 7.