Question

1) Calcule:
a) ( ½ A – C ) – ( ½ C – ¾ A ) =
b) ( x4– x2+ 3/5 ) – ( x4- x2+ ½ ) =

Answer 1

$a) \: ( \frac{1}{2} a - c) - ( \frac{1}{2} c - \frac{3}{4} a) \\ \\ \frac{1}{2} a - c - \frac{1}{2} c + \frac{3}{4} a = \\ \\ \frac{5}{4} a - \frac{3}{2} c \\ \\ b)(x4 - x2 + \frac{3}{5} ) - (x4 - x2 + \frac{1}{2} ) \\ \\ (4x - 2x + \frac{3}{5} ) - (4x - 2x + \frac{1}{2} ) \\ \\ (2x + \frac{3}{5} ) - (2x + \frac{1}{2} ) \\ \\ 2x + \frac{3}{5} - 2x - \frac{1}{2} \\ \\ \frac{3}{5} - \frac{1}{2} = \\ \\ \frac{1}{10}$