Resolver (3(-24/29)-2)^2=(-24/29-5)(9(-24/29)+4)

$$( 3 ( \frac { - 24 } { 29 } ) - 2 ) ^ { 2 } = ( \frac { - 24 } { 29 } - 5 ) ( 9 ( \frac { - 24 } { 29 } ) + 4 )$$

Verificar

Pasos da solución

A fracción \frac{-24}{29} pode volver escribirse como -\frac{24}{29} extraendo o signo negativo.

$$\left(3\left(-\frac{24}{29}\right)-2\right)^{2}=\left(\frac{-24}{29}-5\right)\left(9\times \frac{-24}{29}+4\right)$$

Multiplica 3 e -\frac{24}{29} para obter -\frac{72}{29}.

$$\left(-\frac{72}{29}-2\right)^{2}=\left(\frac{-24}{29}-5\right)\left(9\times \frac{-24}{29}+4\right)$$

Resta 2 de -\frac{72}{29} para obter -\frac{130}{29}.

$$\left(-\frac{130}{29}\right)^{2}=\left(\frac{-24}{29}-5\right)\left(9\times \frac{-24}{29}+4\right)$$

Calcula -\frac{130}{29} á potencia de 2 e obtén \frac{16900}{841}.

$$\frac{16900}{841}=\left(\frac{-24}{29}-5\right)\left(9\times \frac{-24}{29}+4\right)$$

A fracción \frac{-24}{29} pode volver escribirse como -\frac{24}{29} extraendo o signo negativo.

$$\frac{16900}{841}=\left(-\frac{24}{29}-5\right)\left(9\times \frac{-24}{29}+4\right)$$

Resta 5 de -\frac{24}{29} para obter -\frac{169}{29}.

$$\frac{16900}{841}=-\frac{169}{29}\left(9\times \frac{-24}{29}+4\right)$$

A fracción \frac{-24}{29} pode volver escribirse como -\frac{24}{29} extraendo o signo negativo.

$$\frac{16900}{841}=-\frac{169}{29}\left(9\left(-\frac{24}{29}\right)+4\right)$$

Multiplica 9 e -\frac{24}{29} para obter -\frac{216}{29}.

$$\frac{16900}{841}=-\frac{169}{29}\left(-\frac{216}{29}+4\right)$$

Suma -\frac{216}{29} e 4 para obter -\frac{100}{29}.

$$\frac{16900}{841}=-\frac{169}{29}\left(-\frac{100}{29}\right)$$

Multiplica -\frac{169}{29} e -\frac{100}{29} para obter \frac{16900}{841}.

$$\frac{16900}{841}=\frac{16900}{841}$$

Comparar \frac{16900}{841} e \frac{16900}{841}.

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