Question

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

Answer 1

Boa tarde

$a) \quad ( \frac{1}{2}A-C)-( \frac{1}{2}C- \frac{3}{4}A )= \frac{1}{2}A-C- \frac{1}{2}C+ \frac{3}{4}A \\ \\ \\ ( \frac{1}{2} + \frac{3}{4} )A+(-1- \frac{1}{2} )C= \boxed { \dfrac{5}{4}A- \dfrac{3}{2}C } \\ \\ \\ b) \quad ( x^{4}- x^{2} + \dfrac{3}{5} )-( x^{4}- x^{2} + \dfrac{1}{2} ) \\ \\ \\ \quad x^{4}- x^{2} + \dfrac{3}{5} - x^{4}+ x^{2} - \dfrac{1}{2} )= \dfrac{3}{5} - \dfrac{1}{2}= \dfrac{6-5}{10} = \boxed{ \frac{1}{10} }$