semplificare ((-5m^5n^2-1/2 m^4n^4+2/3 m^3n-4mn^4))/((-4m^5n^3))

Soluzione

semplificare

\frac{( - 5 m ^{5} n ^{2} - \frac{1}{2} m ^{4} n ^{4} + \frac{2}{3} m ^{3} n - 4 m n ^{4} )}{( - 4 m ^{5} n ^{3} )}

\frac{30 m ^{4} n + 3 m ^{3} n ^{3} - 4 m ^{2} + 24 n ^{3}}{24 m ^{4} n ^{2}}

Fasi della soluzione

\frac{- 5 m ^{5} n ^{2} - \frac{1}{2} m ^{4} n ^{4} + \frac{2}{3} m ^{3} n - 4 m n ^{4}}{- 4 m ^{5} n ^{3}}

Applica la regola delle frazioni:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{- 5 m ^{5} n ^{2} - \frac{1}{2} m ^{4} n ^{4} + \frac{2}{3} m ^{3} n - 4 m n ^{4}}{4 m ^{5} n ^{3}}

\frac{1}{2} m^{4} n^{4} = \frac{m ^{4} n ^{4}}{2}

\frac{2}{3} m^{3} n = \frac{2 m ^{3} n}{3}

= - \frac{- 5 m ^{5} n ^{2} - 4 m n ^{4} + \frac{2 m ^{3} n}{3} - \frac{m ^{4} n ^{4}}{2}}{4 m ^{5} n ^{3}}

Unisci

- 5 m^{5} n^{2} - \frac{m ^{4} n ^{4}}{2} + \frac{2 m ^{3} n}{3} - 4 m n^{4} : \frac{- 30 m ^{5} n ^{2} - 3 m ^{4} n ^{4} + 4 m ^{3} n - 24 m n ^{4}}{6}

= - \frac{\frac{- 30 m ^{5} n ^{2} - 3 m ^{4} n ^{4} + 4 m ^{3} n - 24 m n ^{4}}{6}}{4 m ^{5} n ^{3}}

Semplifica

\frac{\frac{- 30 m ^{5} n ^{2} - m ^{4} n ^{4} \cdot 3 + 4 m ^{3} n - 24 m n ^{4}}{6}}{4 m ^{5} n ^{3}} : \frac{- 30 m ^{5} n ^{2} - 3 m ^{4} n ^{4} + 4 m ^{3} n - 24 m n ^{4}}{24 m ^{5} n ^{3}}

= - \frac{- 30 m ^{5} n ^{2} - 3 m ^{4} n ^{4} + 4 m ^{3} n - 24 m n ^{4}}{24 m ^{5} n ^{3}}

Cancellare

\frac{- 30 m ^{5} n ^{2} - m ^{4} n ^{4} \cdot 3 + 4 m ^{3} n - 24 m n ^{4}}{24 m ^{5} n ^{3}} : - \frac{30 m ^{4} n + 3 m ^{3} n ^{3} - 4 m ^{2} + 24 n ^{3}}{24 m ^{4} n ^{2}}

= - (- \frac{30 m ^{4} n + 3 m ^{3} n ^{3} - 4 m ^{2} + 24 n ^{3}}{24 m ^{4} n ^{2}})

Applicare la regola

- (- a) = a

= \frac{30 m ^{4} n + 3 m ^{3} n ^{3} - 4 m ^{2} + 24 n ^{3}}{24 m ^{4} n ^{2}}

\frac{x + 2}{2} > 3

f a c t or 49 p^{2} - 7 p - 2

f a c t or 4 y^{2} + 5 x y

7 x - 3 < 12 - 2 x

f a c t or 42 a y^{2} + 102 a y + 45 a