Question

помогите, пожалуйста, решить математику

Answer 1

5.
$= \frac{( {x}^{ \frac{1}{2} } - {y}^{ \frac{1}{2} } )( {x}^{ \frac{1}{2} } + {y}^{ \frac{1}{2} } )}{ {x}^{ \frac{1}{2} } - {y}^{ \frac{1}{2} } } - \frac{ {y}^{ \frac{1}{2} }(1 + {y}^{ \frac{1}{2} } ) }{ {y}^{ \frac{1}{2} } } = {x}^{ \frac{1}{2} } + {y}^{ \frac{1}{2} } - 1 - {y}^{ \frac{1}{2} } = {x}^{ \frac{1}{2} } - 1$
6.
$(\frac{1}{ {2}^{5} \times {9}^{5} } \times {2}^{6} \times {3}^{12} + 2^{2} \times {3}^{2} ) \div ( \frac{3}{2} )^{2} = (2 \times {3}^{2} + {2}^{2} \times {3}^{2} ) \times \frac{ {2}^{2} }{ {3}^{2} } = 54 \times \frac{ {2}^{2} }{ {3}^{2} } = {3}^{3} \times 2 \times \frac{ {2}^{2} }{ {3}^{2} } = 3 \times {2}^{3} = 24$