Matemática básica Ejemplos

$\frac{{(10 - 27.5)}^{2} + {(25 - 27.5)}^{2} + {(28 - 27.5)}^{2} + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Paso 1

Simplifica el numerador.

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Paso 1.1

Resta $27.5$ de $10$ .

$\frac{{(- 17.5)}^{2} + {(25 - 27.5)}^{2} + {(28 - 27.5)}^{2} + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Paso 1.2

Eleva $- 17.5$ a la potencia de $2$ .

$\frac{306.25 + {(25 - 27.5)}^{2} + {(28 - 27.5)}^{2} + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Paso 1.3

Resta $27.5$ de $25$ .

$\frac{306.25 + {(- 2.5)}^{2} + {(28 - 27.5)}^{2} + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Paso 1.4

Eleva $- 2.5$ a la potencia de $2$ .

$\frac{306.25 + 6.25 + {(28 - 27.5)}^{2} + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Paso 1.5

Resta $27.5$ de $28$ .

$\frac{306.25 + 6.25 + {0.5}^{2} + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Paso 1.6

Eleva $0.5$ a la potencia de $2$ .

$\frac{306.25 + 6.25 + 0.25 + {(32 - 27.5)}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Paso 1.7

Resta $27.5$ de $32$ .

$\frac{306.25 + 6.25 + 0.25 + {4.5}^{2} + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Paso 1.8

Eleva $4.5$ a la potencia de $2$ .

$\frac{306.25 + 6.25 + 0.25 + 20.25 + {(33 - 27.5)}^{2} (37 - 27.5)}{6 - 1}$

Paso 1.9

Resta $27.5$ de $33$ .

$\frac{306.25 + 6.25 + 0.25 + 20.25 + {5.5}^{2} (37 - 27.5)}{6 - 1}$

Paso 1.10

Eleva $5.5$ a la potencia de $2$ .

$\frac{306.25 + 6.25 + 0.25 + 20.25 + 30.25 (37 - 27.5)}{6 - 1}$

Paso 1.11

Resta $27.5$ de $37$ .

$\frac{306.25 + 6.25 + 0.25 + 20.25 + 30.25 \cdot 9.5}{6 - 1}$

Paso 1.12

Multiplica $30.25$ por $9.5$ .

$\frac{306.25 + 6.25 + 0.25 + 20.25 + 287.375}{6 - 1}$

Paso 1.13

Suma $306.25$ y $6.25$ .

$\frac{312.5 + 0.25 + 20.25 + 287.375}{6 - 1}$

Paso 1.14

Suma $312.5$ y $0.25$ .

$\frac{312.75 + 20.25 + 287.375}{6 - 1}$

Paso 1.15

Suma $312.75$ y $20.25$ .

$\frac{333 + 287.375}{6 - 1}$

Paso 1.16

Suma $333$ y $287.375$ .

$\frac{620.375}{6 - 1}$

Paso 2

Simplifica la expresión.

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Paso 2.1

Resta $1$ de $6$ .

$\frac{620.375}{5}$

Paso 2.2

Divide $620.375$ por $5$ .

$124.075$