Issolvi (4x-y)(7x+4y)-(2x+8y)(2x+5y)

$$( 4 x - y ) ( 7 x + 4 y ) - ( 2 x + 8 y ) ( 2 x + 5 y )$$

Evalwa

$$24x^{2}-17xy-44y^{2}$$

Passi tas-Soluzzjonijiet

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 4x-y b'kull terminu ta' 7x+4y.

$$28x^{2}+16xy-7yx-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)$$

Ikkombina 16xy u -7yx biex tikseb 9xy.

$$28x^{2}+9xy-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 2x+8y b'kull terminu ta' 2x+5y.

$$28x^{2}+9xy-4y^{2}-\left(4x^{2}+10xy+16xy+40y^{2}\right)$$

Ikkombina 10xy u 16xy biex tikseb 26xy.

$$28x^{2}+9xy-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)$$

Biex issib l-oppost ta' 4x^{2}+26xy+40y^{2}, sib l-oppost ta' kull terminu.

$$28x^{2}+9xy-4y^{2}-4x^{2}-26xy-40y^{2}$$

Ikkombina 28x^{2} u -4x^{2} biex tikseb 24x^{2}.

$$24x^{2}+9xy-4y^{2}-26xy-40y^{2}$$

Ikkombina 9xy u -26xy biex tikseb -17xy.

$$24x^{2}-17xy-4y^{2}-40y^{2}$$

Ikkombina -4y^{2} u -40y^{2} biex tikseb -44y^{2}.

$$24x^{2}-17xy-44y^{2}$$

Espandi

$$24x^{2}-17xy-44y^{2}$$

Passi tas-Soluzzjonijiet

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 4x-y b'kull terminu ta' 7x+4y.

$$28x^{2}+16xy-7yx-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)$$

Ikkombina 16xy u -7yx biex tikseb 9xy.

$$28x^{2}+9xy-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 2x+8y b'kull terminu ta' 2x+5y.

$$28x^{2}+9xy-4y^{2}-\left(4x^{2}+10xy+16xy+40y^{2}\right)$$

Ikkombina 10xy u 16xy biex tikseb 26xy.

$$28x^{2}+9xy-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)$$

Biex issib l-oppost ta' 4x^{2}+26xy+40y^{2}, sib l-oppost ta' kull terminu.

$$28x^{2}+9xy-4y^{2}-4x^{2}-26xy-40y^{2}$$

Ikkombina 28x^{2} u -4x^{2} biex tikseb 24x^{2}.

$$24x^{2}+9xy-4y^{2}-26xy-40y^{2}$$

Ikkombina 9xy u -26xy biex tikseb -17xy.

$$24x^{2}-17xy-4y^{2}-40y^{2}$$

Ikkombina -4y^{2} u -40y^{2} biex tikseb -44y^{2}.

$$24x^{2}-17xy-44y^{2}$$