Salut!
b)
[tex](( \frac{3}{2} )^{2} - ( \frac{2}{5} )^{2} ) \div \frac{2}{5} \\ = ( \frac{9}{25} - \frac{4}{25} ) \times \frac{5}{2} \\ = \frac{5}{25} \times \frac{5}{2} \\ = \frac{25}{25 \times 2} \\ = \frac{1}{2} [/tex]
d)
[tex] \frac{12}{5} \times ((2 - \frac{1}{3} ) ^{2} + ( \frac{1}{2} - 1) ^{2} - \frac{53}{18}) \\ = \frac{12}{5} \times (( \frac{5}{3} )^{2} + ( - \frac{1}{2} )^{2} - \frac{53}{18} ) \\ = \frac{12}{5} \times ( \frac{25}{9} + \frac{1}{4} - \frac{53}{18} ) \\ = \frac{12}{5} \times \frac{100 + 9 - 106}{36} \\ = \frac{12}{5} \times \frac{3}{36} \\ = \frac{12}{5} \times \frac{1}{12} \\ = \frac{1}{5} [/tex]
f)
[tex]4 \div ((2 \frac{1}{3} - \frac{5}{6} ) ^{2} - \frac{1}{4} )^{2} \\ = 4 \div (( \frac{7}{3} - \frac{5}{6} )^{2} - \frac{1}{4} ) ^{2} \\ = 4 \div (( \frac{3}{2} ) ^{2} - \frac{1}{4} ) ^{2} \\ = 4 \div ( \frac{9}{4} - \frac{1}{4} ) ^{2} \\ = 4 \div ( \frac{8}{4} ) ^{2} \\ = 4 \div {2}^{2} \\ = 4 \div 4 \\ = 1[/tex]
Succes!
