Álgebra Ejemplos

$2 (x + 1) {(x - 1)}^{- 1} - {(x + 1)}^{2} {(x - 1)}^{- 2} + 3 (x + 1) {(x - 1)}^{- 2}$

Paso 1

Factoriza $(x + 1) {(x - 1)}^{- 2}$ de $2 (x + 1) {(x - 1)}^{- 1} - {(x + 1)}^{2} {(x - 1)}^{- 2} + 3 (x + 1) {(x - 1)}^{- 2}$ .

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Paso 1.1

Factoriza $(x + 1) {(x - 1)}^{- 2}$ de $2 (x + 1) {(x - 1)}^{- 1}$ .

$(x + 1) {(x - 1)}^{- 2} (2 (x - 1)) - {(x + 1)}^{2} {(x - 1)}^{- 2} + 3 (x + 1) {(x - 1)}^{- 2}$

Paso 1.2

Factoriza $(x + 1) {(x - 1)}^{- 2}$ de $- {(x + 1)}^{2} {(x - 1)}^{- 2}$ .

$(x + 1) {(x - 1)}^{- 2} (2 (x - 1)) + (x + 1) {(x - 1)}^{- 2} (- (x + 1)) + 3 (x + 1) {(x - 1)}^{- 2}$

Paso 1.3

Factoriza $(x + 1) {(x - 1)}^{- 2}$ de $3 (x + 1) {(x - 1)}^{- 2}$ .

$(x + 1) {(x - 1)}^{- 2} (2 (x - 1)) + (x + 1) {(x - 1)}^{- 2} (- (x + 1)) + (x + 1) {(x - 1)}^{- 2} (3)$

Paso 1.4

Factoriza $(x + 1) {(x - 1)}^{- 2}$ de $(x + 1) {(x - 1)}^{- 2} (2 (x - 1)) + (x + 1) {(x - 1)}^{- 2} (- (x + 1))$ .

$(x + 1) {(x - 1)}^{- 2} (2 (x - 1) - (x + 1)) + (x + 1) {(x - 1)}^{- 2} (3)$

Paso 1.5

Factoriza $(x + 1) {(x - 1)}^{- 2}$ de $(x + 1) {(x - 1)}^{- 2} (2 (x - 1) - (x + 1)) + (x + 1) {(x - 1)}^{- 2} (3)$ .

$(x + 1) {(x - 1)}^{- 2} (2 (x - 1) - (x + 1) + 3)$

Paso 2

Aplica la propiedad distributiva.

$(x + 1) {(x - 1)}^{- 2} (2 x + 2 \cdot - 1 - (x + 1) + 3)$

Paso 3

Multiplica $2$ por $- 1$ .

$(x + 1) {(x - 1)}^{- 2} (2 x - 2 - (x + 1) + 3)$

Paso 4

Aplica la propiedad distributiva.

$(x + 1) {(x - 1)}^{- 2} (2 x - 2 - x - 1 \cdot 1 + 3)$

Paso 5

Multiplica $- 1$ por $1$ .

$(x + 1) {(x - 1)}^{- 2} (2 x - 2 - x - 1 + 3)$

Paso 6

Resta $x$ de $2 x$ .

$(x + 1) {(x - 1)}^{- 2} (x - 2 - 1 + 3)$

Paso 7

Resta $1$ de $- 2$ .

$(x + 1) {(x - 1)}^{- 2} (x - 3 + 3)$

Paso 8

Suma $- 3$ y $3$ .

$(x + 1) {(x - 1)}^{- 2} (x + 0)$

Paso 9

Suma $x$ y $0$ .

$(x + 1) {(x - 1)}^{- 2} x$