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

$$4x-44y^{2}-33xy-4x^{2}$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika y b'7x+4y.

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

Biex issib l-oppost ta' 7yx+4y^{2}, sib l-oppost ta' kull terminu.

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

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

$$4x-7yx-4y^{2}-\left(4x^{2}+10xy+16yx+40y^{2}\right)$$

Ikkombina 10xy u 16yx biex tikseb 26xy.

$$4x-7yx-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)$$

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

$$4x-7yx-4y^{2}-4x^{2}-26xy-40y^{2}$$

Ikkombina -7yx u -26xy biex tikseb -33yx.

$$4x-33yx-4y^{2}-4x^{2}-40y^{2}$$

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

$$4x-33yx-44y^{2}-4x^{2}$$

Espandi

$$4x-44y^{2}-33xy-4x^{2}$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika y b'7x+4y.

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

Biex issib l-oppost ta' 7yx+4y^{2}, sib l-oppost ta' kull terminu.

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

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

$$4x-7yx-4y^{2}-\left(4x^{2}+10xy+16yx+40y^{2}\right)$$

Ikkombina 10xy u 16yx biex tikseb 26xy.

$$4x-7yx-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)$$

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

$$4x-7yx-4y^{2}-4x^{2}-26xy-40y^{2}$$

Ikkombina -7yx u -26xy biex tikseb -33yx.

$$4x-33yx-4y^{2}-4x^{2}-40y^{2}$$

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

$$4x-33yx-44y^{2}-4x^{2}$$