Diferencia de cuadrados y cubos perfectos

Multiple Choice

¿Cuál es la factorización del siguiente trinomio?

$$x^2-x-42$$

• (x - 7)(x + 6)
• (x - 6)(x + 7)
• (x - 42)(x + 1)
• (x - 1)(x + 42)

Multiple Choice

Factoriza:

$$x^2-y^2$$

• $$\left(x+y\right)\left(x-y\right)$$

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

• $$\left(x-y\right)^2$$

• $$x-y$$

Multiple Choice

Factoriza:

$$a^2-144$$

• $$\left(a+12\right)\left(a-12\right)$$

• $$\left(a^2-12\right)^2$$

• $$\left(a+12\right)^2$$

• $$x-12$$

Multiple Choice

Factoriza:

$$36x^4y^6-z^4$$

• $$\left(6x^2y^3+z^2\right)\left(6x^2y^3-z^2\right)$$

• $$\left(6x^2y-z\right)\left(6x^2y-z\right)$$

• $$\left(6x^2y^3-z^2\right)^2$$

• $$x-y-z\left(6xy-z\right)$$

Multiple Choice

Factoriza:

$$\frac{1}{4}x^6-\frac{1}{9}y^{12}$$

• $$\left(\frac{1}{2}x^3+\frac{1}{3}y^6\right)\left(\frac{1}{2}x^3-\frac{1}{3}y^6\right)$$

• $$\left(\frac{1}{2}x^4+\frac{1}{3}y^8\right)\left(\frac{1}{2}x^4+\frac{1}{3}y^8\right)$$

• $$\left(\frac{1}{2}x^3+\frac{1}{3}y^6\right)^2$$

• $$\left(\frac{1}{2}x^3-\frac{1}{3}y^6\right)\left(\frac{1}{2}x^3-\frac{1}{3}y^6\right)$$

Multiple Choice

Factoriza:

$$125x^3+75x^2+15x+1$$

• $$\left(5x+1\right)^3$$

• $$\left(5x+1\right)^2$$

• $$\left(25x-1\right)^3$$

• $$\left(5x+1\right)\left(5x-1\right)^{ }$$

Multiple Choice

Factoriza:

$$x^9-9x^6y^4+27x^3y^8-27y^{12}$$

• $$\left(x^3-3y^4\right)^3$$

• $$\left(x^3-3y^4\right)^2$$

• $$\left(x^3-3y^6\right)^3$$

• $$\left(x^3-3y^4\right)\left(x^3+3y^4\right)$$

Multiple Choice

Factoriza:

$$27a^3+b^6$$

• $$\left(3a+b^2\right)\left(9a^2-3ab^2+b^4\right)$$

• $$\left(3a-b^2\right)\left(9a^2+3ab^2+b^4\right)$$

• $$\left(3a+b^2\right)\left(9a^{ }-3ab^2+b^{ }\right)$$

• $$\left(3a+b^{ }\right)\left(9a^{ }-3ab^{ }+b^{ }\right)$$

Multiple Choice

Factoriza:

$$x^3y^6-216y^9$$

• $$\left(xy^2-6y^3\right)\left(x^2y^4+6xy^5+36y^6\right)$$

• $$\left(xy^2-6y^3\right)\left(x^2y^2+6xy^2+36y^3\right)$$

• $$\left(xy^2+6y^3\right)\left(x^2y^4+6xy^5+36y^6\right)$$

• $$\left(xy^2+6y^3\right)\left(x^2y^4-6xy^5-36y^6\right)$$