Quiz about Examen Parcial de Precálculo o Matemáticas I

Question 1

Al efectuar el producto $$(x-1+y)(1+x+y)$$ se obtiene:

Accepted Answer

$$y^2-1+x^2+2xy$$

Answer

$$y^2-1-x^2+2xy$$

Answer

$$xy+1-x^2$$

Answer

$$1+x^2-y^2$$

Question 2

Al simplificar $$\left(\frac{a^2b^{-3}}{x^{-1}y^2}\right)^3\left(\frac{x^{-2}b^{-1}}{\sqrt[]{a^3y}}\right)$$ sin exponentes negativos

Accepted Answer

$$\frac{a^4x\sqrt[]{a}}{b^{10}y^7}$$

Answer

$$\frac{a^5x\sqrt[]{ay}}{b^{10}y^6}$$

Answer

$$\frac{a^4b^{10}}{xy^6\sqrt[]{ay}}$$

Answer

$$a^6b^{-9}x^4y^{-4}$$

Question 3

Factorice completamente: $$x^3+8x^2-4x-32$$

Accepted Answer

$$(x-2)(x+2)(x+8)$$

Answer

$$(x-2)(x+2)^2$$

Answer

$$(x^2+4)(x-8)$$

Answer

$$(x-4)(x+2)(x-4)$$

Question 4

Simplificar: $$\frac{x+y}{x^2-y^2}\div\frac{\left(x-y\right)^2}{\left(x+y\right)^2}$$

Accepted Answer

$$\frac{\left(x-y\right)^2}{\left(x+y\right)^3}$$

Answer

$$\frac{x^2+y^2}{x^3-y^3}$$

Answer

$$\frac{\left(x+y\right)^2}{\left(x-y\right)^3}$$

Answer

$$\left(\frac{x+y}{x-y}\right)^2$$

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