Issolvi 3left(x-yright)-left(x-yright)^2

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

Evalwa

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

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 3 b'x-y.

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

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-y\right)^{2}.

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

Biex issib l-oppost ta' x^{2}-2xy+y^{2}, sib l-oppost ta' kull terminu.

$$3x-3y-x^{2}+2xy-y^{2}$$

Espandi

$$-x^{2}+2xy+3x-y^{2}-3y$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 3 b'x-y.

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

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-y\right)^{2}.

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

Biex issib l-oppost ta' x^{2}-2xy+y^{2}, sib l-oppost ta' kull terminu.

$$3x-3y-x^{2}+2xy-y^{2}$$