PRODUCTOS NOTABLES

Reduce: (x-7)² -(x-8)(x-6)

Calcula:  $\left(\sqrt{7}+\sqrt{3}\right)\left(\sqrt{7}-\sqrt{3}\right)+\left(\sqrt{5}+\sqrt{2}\right)\left(\sqrt{5}-\sqrt{2}\right)$  

Reduce: (5x+2)²+(5x-2)²-50x²

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

 $Reduce:\ A=\left(x+3\right)^3-9x\left(x+3\right)$  

Si a+b+c=0 y ab+ac+bc=3, calcula: a²+b²+c²

Si a+b+c=0 y abc= -8,

calcula a³+b³+c³

Reduce: (x+2)(x²-2x+4)-(x-1)(x²-x+1)

Si a +b+c =0, 
calcula
 $\ \ \ \frac{a^3+b^3+c^3}{abc}$ 

Calcula: $\ \left(\sqrt{5}-\sqrt{2}\right)\left(\sqrt{5}+\sqrt{2}\right)$