Question

Помогите плиз (m^5/24-m^1/4)*(m^7/24+m^1/3+m^3/8)

Answer 1

$( m^{ \frac{5}{24} } - m^{ \frac{1}{4} } )( m^{ \frac{7}{24} } + m^{ \frac{1}{3} } + m^{ \frac{3}{8} } )= \\ \\ ( m^{ \frac{5}{24} } - m^{ \frac{6}{24} } )( m^{ \frac{7}{24} } + m^{ \frac{8}{24} } + m^{ \frac{9}{24} } )= \\ \\ m^{ \frac{5}{24} }(1 - m^{ \frac{1}{24} } )* m^{ \frac{7}{24} }(1 + m^{ \frac{1}{24} } + m^{ \frac{2}{24} } )= \\ \\ m^{ \frac{5+7}{24} } *(1-( m^{ \frac{1}{24} } )^3)= m^{ \frac{1}{2} } (1- m^{ \frac{1}{8} } )= \\ \\ m^{ \frac{1}{2} }-m^{ \frac{5}{8} }$