Issolvi 3x(2x+3y)-(x-3y)(3x+4y)

$$3 x ( 2 x + 3 y ) - ( x - 3 y ) ( 3 x + 4 y )$$

Evalwa

$$3x^{2}+14xy+12y^{2}$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 3x b'2x+3y.

$$6x^{2}+9xy-\left(x-3y\right)\left(3x+4y\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' x-3y b'kull terminu ta' 3x+4y.

$$6x^{2}+9xy-\left(3x^{2}+4xy-9yx-12y^{2}\right)$$

Ikkombina 4xy u -9yx biex tikseb -5xy.

$$6x^{2}+9xy-\left(3x^{2}-5xy-12y^{2}\right)$$

Biex issib l-oppost ta' 3x^{2}-5xy-12y^{2}, sib l-oppost ta' kull terminu.

$$6x^{2}+9xy-3x^{2}-\left(-5xy\right)-\left(-12y^{2}\right)$$

L-oppost ta' -5xy huwa 5xy.

$$6x^{2}+9xy-3x^{2}+5xy-\left(-12y^{2}\right)$$

L-oppost ta' -12y^{2} huwa 12y^{2}.

$$6x^{2}+9xy-3x^{2}+5xy+12y^{2}$$

Ikkombina 6x^{2} u -3x^{2} biex tikseb 3x^{2}.

$$3x^{2}+9xy+5xy+12y^{2}$$

Ikkombina 9xy u 5xy biex tikseb 14xy.

$$3x^{2}+14xy+12y^{2}$$

Espandi

$$3x^{2}+14xy+12y^{2}$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 3x b'2x+3y.

$$6x^{2}+9xy-\left(x-3y\right)\left(3x+4y\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' x-3y b'kull terminu ta' 3x+4y.

$$6x^{2}+9xy-\left(3x^{2}+4xy-9yx-12y^{2}\right)$$

Ikkombina 4xy u -9yx biex tikseb -5xy.

$$6x^{2}+9xy-\left(3x^{2}-5xy-12y^{2}\right)$$

Biex issib l-oppost ta' 3x^{2}-5xy-12y^{2}, sib l-oppost ta' kull terminu.

$$6x^{2}+9xy-3x^{2}-\left(-5xy\right)-\left(-12y^{2}\right)$$

L-oppost ta' -5xy huwa 5xy.

$$6x^{2}+9xy-3x^{2}+5xy-\left(-12y^{2}\right)$$

L-oppost ta' -12y^{2} huwa 12y^{2}.

$$6x^{2}+9xy-3x^{2}+5xy+12y^{2}$$

Ikkombina 6x^{2} u -3x^{2} biex tikseb 3x^{2}.

$$3x^{2}+9xy+5xy+12y^{2}$$

Ikkombina 9xy u 5xy biex tikseb 14xy.

$$3x^{2}+14xy+12y^{2}$$