Issolvi 3(x+y)(x-y)-(x+y)^2

$$3 ( x + y ) ( x - y ) - ( x + y ) ^ { 2 }$$

Evalwa

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

Passi tas-Soluzzjonijiet

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

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

Uża l-propjetà distributtiva biex timmultiplika 3x+3y b'x-y u kkombina termini simili.

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

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

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

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

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

Ikkombina 3x^{2} u -x^{2} biex tikseb 2x^{2}.

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

Ikkombina -3y^{2} u -y^{2} biex tikseb -4y^{2}.

$$2x^{2}-4y^{2}-2xy$$

Espandi

$$2x^{2}-2xy-4y^{2}$$

Passi tas-Soluzzjonijiet

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

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

Uża l-propjetà distributtiva biex timmultiplika 3x+3y b'x-y u kkombina termini simili.

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

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

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

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

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

Ikkombina 3x^{2} u -x^{2} biex tikseb 2x^{2}.

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

Ikkombina -3y^{2} u -y^{2} biex tikseb -4y^{2}.

$$2x^{2}-4y^{2}-2xy$$