Quiz about Operaciones con fracciones algebraicas

Question 1

Simplifica:

$$\frac{2x-2a}{x^2+2ax+a^2}\div\frac{x-a}{x+a}$$

Accepted Answer

$$\frac{2}{x+a}$$

Answer

$$\frac{1}{x-a}$$

Answer

$$\frac{2}{x-a}$$

Answer

$$\frac{1}{x+a}$$

Question 2

Simplifica:

$$\frac{x^2-3x-4}{x^2-6x+8} imes\frac{x^2-5x+6}{x^2-2x-3}$$

Accepted Answer

1

Answer

$$\frac{x+2}{x-1}$$

Answer

$$\frac{x-2}{x-1}$$

Answer

$$\frac{x+2}{x+1}$$

Question 3

Simplifica:

$$\frac{x^2-6x+9}{4x^2-1}\div\frac{x^2+5x-24}{2x^2+17x+8}$$

Accepted Answer

$$\frac{x-3}{2x-1}$$

Answer

$$\frac{x-3}{4x-1}$$

Answer

$$\frac{x+3}{2x+1}$$

Answer

$$\frac{x+6}{2x-1}$$

Question 4

Calcula el numerador simplificado de:

$$\left(\frac{x^2+2x}{x^2+3x}\right)\left(\frac{x^2+8x+15}{x^2+3x+2}\right)$$

Accepted Answer

x+5

Answer

x+7

Answer

x+3

Answer

x+2

Question 5

Luego de simplificar:

$$\frac{x^2-1}{x^2+4x+3} imes\frac{x^2+5x+6}{x^2+7x+10}\div\frac{x-1}{x+5}$$

Indique la suma del numerador y el denominador simplificado.

Accepted Answer

$$2$$

Answer

$$1$$

Answer

$$x+2$$

Answer

$$0$$

Question 6

Resuelve:

$$\frac{x^2+x}{2x\left(x+1\right)}\div\frac{x+1}{2x}+\frac{x+2}{x+1}$$

Accepted Answer

2

Answer

1

Answer

Answer

- 2

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