Pré-cálculo Exemplos

$\frac{2}{5} x^{\frac{5}{2}} + 2 x^{\frac{3}{2}} + 15 x^{\frac{1}{2}}$

Etapa 1

Fatore $x^{\frac{1}{2}}$ de $\frac{2}{5} x^{\frac{5}{2}} + 2 x^{\frac{3}{2}} + 15 x^{\frac{1}{2}}$ .

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Etapa 1.1

Reordene $\frac{2}{5}$ e $x^{\frac{5}{2}}$ .

$x^{\frac{5}{2}} \frac{2}{5} + 2 x^{\frac{3}{2}} + 15 x^{\frac{1}{2}}$

Etapa 1.2

Fatore $x^{\frac{1}{2}}$ de $x^{\frac{5}{2}} \frac{2}{5}$ .

$x^{\frac{1}{2}} (x^{\frac{4}{2}} \frac{2}{5}) + 2 x^{\frac{3}{2}} + 15 x^{\frac{1}{2}}$

Etapa 1.3

Fatore $x^{\frac{1}{2}}$ de $2 x^{\frac{3}{2}}$ .

$x^{\frac{1}{2}} (x^{\frac{4}{2}} \frac{2}{5}) + x^{\frac{1}{2}} (2 x^{\frac{2}{2}}) + 15 x^{\frac{1}{2}}$

Etapa 1.4

Fatore $x^{\frac{1}{2}}$ de $15 x^{\frac{1}{2}}$ .

$x^{\frac{1}{2}} (x^{\frac{4}{2}} \frac{2}{5}) + x^{\frac{1}{2}} (2 x^{\frac{2}{2}}) + x^{\frac{1}{2}} \cdot 15$

Etapa 1.5

Fatore $x^{\frac{1}{2}}$ de $x^{\frac{1}{2}} (x^{\frac{4}{2}} \frac{2}{5}) + x^{\frac{1}{2}} (2 x^{\frac{2}{2}})$ .

$x^{\frac{1}{2}} (x^{\frac{4}{2}} \frac{2}{5} + 2 x^{\frac{2}{2}}) + x^{\frac{1}{2}} \cdot 15$

Etapa 1.6

Fatore $x^{\frac{1}{2}}$ de $x^{\frac{1}{2}} (x^{\frac{4}{2}} \frac{2}{5} + 2 x^{\frac{2}{2}}) + x^{\frac{1}{2}} \cdot 15$ .

$x^{\frac{1}{2}} (x^{\frac{4}{2}} \frac{2}{5} + 2 x^{\frac{2}{2}} + 15)$

Etapa 2

Divida $4$ por $2$ .

$x^{\frac{1}{2}} (x^{2} \frac{2}{5} + 2 x^{\frac{2}{2}} + 15)$

Etapa 3

Combine $x^{2}$ e $\frac{2}{5}$ .

$x^{\frac{1}{2}} (\frac{x^{2} \cdot 2}{5} + 2 x^{\frac{2}{2}} + 15)$

Etapa 4

Mova $2$ para a esquerda de $x^{2}$ .

$x^{\frac{1}{2}} (\frac{2 \cdot x^{2}}{5} + 2 x^{\frac{2}{2}} + 15)$

Etapa 5

Multiplique $2$ por $x^{2}$ .

$x^{\frac{1}{2}} (\frac{2 x^{2}}{5} + 2 x^{\frac{2}{2}} + 15)$

Etapa 6

Divida $2$ por $2$ .

$x^{\frac{1}{2}} (\frac{2 x^{2}}{5} + 2 x^{1} + 15)$

Etapa 7

Simplifique.

$x^{\frac{1}{2}} (\frac{2 x^{2}}{5} + 2 x + 15)$

Etapa 8

Fatore.

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Etapa 8.1

Fatore $\frac{1}{5}$ de cada termo.

$x^{\frac{1}{2}} (\frac{1}{5} (2 x^{2} + 10 x + 75))$

Etapa 8.2

Remova os parênteses desnecessários.

$x^{\frac{1}{2}} \frac{1}{5} (2 x^{2} + 10 x + 75)$

Etapa 9

Combine $x^{\frac{1}{2}}$ e $\frac{1}{5}$ .

$\frac{x^{\frac{1}{2}}}{5} (2 x^{2} + 10 x + 75)$