Resolver (3:2)^3+(5-2)^3+(9:2)^2-(5/2-1)^2=

$$( 3 : 2 ) ^ { 3 } + ( 5 - 2 ) ^ { 3 } + ( 9 : 2 ) ^ { 2 } - ( \frac { 5 } { 2 } - 1 ) ^ { 2 } =$$

Avaliar

$$\frac{387}{8}=48,375$$

Passos Para a Resolução

Calcule \frac{3}{2} elevado a 3 e obtenha \frac{27}{8}.

$$\frac{27}{8}+\left(5-2\right)^{3}+\left(\frac{9}{2}\right)^{2}-\left(\frac{5}{2}-1\right)^{2}$$

Subtraia 2 de 5 para obter 3.

$$\frac{27}{8}+3^{3}+\left(\frac{9}{2}\right)^{2}-\left(\frac{5}{2}-1\right)^{2}$$

Calcule 3 elevado a 3 e obtenha 27.

$$\frac{27}{8}+27+\left(\frac{9}{2}\right)^{2}-\left(\frac{5}{2}-1\right)^{2}$$

Some \frac{27}{8} e 27 para obter \frac{243}{8}.

$$\frac{243}{8}+\left(\frac{9}{2}\right)^{2}-\left(\frac{5}{2}-1\right)^{2}$$

Calcule \frac{9}{2} elevado a 2 e obtenha \frac{81}{4}.

$$\frac{243}{8}+\frac{81}{4}-\left(\frac{5}{2}-1\right)^{2}$$

Some \frac{243}{8} e \frac{81}{4} para obter \frac{405}{8}.

$$\frac{405}{8}-\left(\frac{5}{2}-1\right)^{2}$$

Subtraia 1 de \frac{5}{2} para obter \frac{3}{2}.

$$\frac{405}{8}-\left(\frac{3}{2}\right)^{2}$$

Calcule \frac{3}{2} elevado a 2 e obtenha \frac{9}{4}.

$$\frac{405}{8}-\frac{9}{4}$$

Subtraia \frac{9}{4} de \frac{405}{8} para obter \frac{387}{8}.

$$\frac{387}{8}$$

Fatorizar

$$\frac{3 ^ {2} \cdot 43}{2 ^ {3}} = 48\frac{3}{8} = 48,375$$