Question

1. Calculati :
a) ( 3x - 1/2 )² + ( x/2 - 2/3 ) ( x/2 + 2/3 ) - ( 2x/3+2 ) ² - ( √3/6 ) ²
b ) ( 2a/3 -3)² + ( 5a - 1/3 ) ( 5a + 1/3 ) - ( a/2 - 3 ) ²

Answer 1

a)    9x² - 3x + 1/4 + x² /4 - 4/9 - 4x²/9 - 8x/3 - 4 - 1/12 =
= (9 + 1/4 - 4/9)·x² -(3 + 8/3)·x - ( -1/4 + 4/9 + 4 +1/12) =
= 329x²/36 - 17x/3 - 154/36 = 329x² /36 - 17x/3 - 77/18
b)  4a² /9 - 4a +9) + 25a² - 1/9 - a² /4 +3a - 9 =
= (4/9 +24)·a² - a - 1/9 = 220a² /9 - a - 1/9