Prodotti Notevoli

$$\left(a+b\right)^2=a^2+b^2$$

$$\left(x+y\right)^2=2xy+y^2+x^2$$

$$\left(x+y\right)^2=2xy-y^2+x^2$$

$$\left(a+1\right)^2=a^2+2a+1$$

$$x^2+2x+2$$

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

$$x^2+2xy+y^2$$

$$x^2-2xy-y^2$$

$$x$$

$$2x$$

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

$$\frac{1}{4}x^2$$

$$\left(x+y+z\right)^2=x^2+y^2+z^2+2xy+2yz+2xz$$

$$\left(x-y-z\right)^2=x^2+y^2+z^2-2xy-2yz-2xz$$

$$\left(x-y+1\right)^2=x^2+y^2+1-2xy-2y+2x$$

$$\left(x+y-z\right)^2=x^2+y^2-z^2+2xy-2yz-2xz$$

x

-x

1

-1

$$\left(x-1\right)^2$$

$$x^2+1$$

$$x^2+2x$$

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

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

$$\frac{1}{4}x^2-2x-1$$

$$\frac{1}{4}x^2+2x-1$$

$$\frac{1}{4}x^2-2x+1$$

$$\left(a+b\right)^3=a^3+b^3$$

$$\left(x-y\right)^3=x^3-y^3-3xy$$

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

$$\left(x+1\right)^3=x^3+3x^2+3x+1$$

$$\left(y+1\right)^3$$

$$\left(y-1\right)^3$$

$$y^3+y^2+y+1$$

$$y^3+1$$

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

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

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

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