Diferencia de cuadrados y cubos perfectos

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

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

$$\left(x-y\right)^2$$

$$x-y$$

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

$$\left(a^2-12\right)^2$$

$$\left(a+12\right)^2$$

$$x-12$$

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

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

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

$$x-y-z\left(6xy-z\right)$$

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

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

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

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

$$\left(5x+1\right)^3$$

$$\left(5x+1\right)^2$$

$$\left(25x-1\right)^3$$

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

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

$$\left(x^3-3y^4\right)^2$$

$$\left(x^3-3y^6\right)^3$$

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

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

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

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

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

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

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

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

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