Issolvi (4x-80)x+(55(20-x)-200)(20-x)

$$( 4 x - 80 ) x + ( 55 ( 20 - x ) - 200 ) ( 20 - x )$$

Evalwa

$$\left(x-20\right)\left(59x-900\right)$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 4x-80 b'x.

$$4x^{2}-80x+\left(55\left(20-x\right)-200\right)\left(20-x\right)$$

Uża l-propjetà distributtiva biex timmultiplika 55 b'20-x.

$$4x^{2}-80x+\left(1100-55x-200\right)\left(20-x\right)$$

Naqqas 200 minn 1100 biex tikseb 900.

$$4x^{2}-80x+\left(900-55x\right)\left(20-x\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 900-55x b'kull terminu ta' 20-x.

$$4x^{2}-80x+18000-900x-1100x+55x^{2}$$

Ikkombina -900x u -1100x biex tikseb -2000x.

$$4x^{2}-80x+18000-2000x+55x^{2}$$

Ikkombina -80x u -2000x biex tikseb -2080x.

$$4x^{2}-2080x+18000+55x^{2}$$

Ikkombina 4x^{2} u 55x^{2} biex tikseb 59x^{2}.

$$59x^{2}-2080x+18000$$

Espandi

$$59x^{2}-2080x+18000$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 4x-80 b'x.

$$4x^{2}-80x+\left(55\left(20-x\right)-200\right)\left(20-x\right)$$

Uża l-propjetà distributtiva biex timmultiplika 55 b'20-x.

$$4x^{2}-80x+\left(1100-55x-200\right)\left(20-x\right)$$

Naqqas 200 minn 1100 biex tikseb 900.

$$4x^{2}-80x+\left(900-55x\right)\left(20-x\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 900-55x b'kull terminu ta' 20-x.

$$4x^{2}-80x+18000-900x-1100x+55x^{2}$$

Ikkombina -900x u -1100x biex tikseb -2000x.

$$4x^{2}-80x+18000-2000x+55x^{2}$$

Ikkombina -80x u -2000x biex tikseb -2080x.

$$4x^{2}-2080x+18000+55x^{2}$$

Ikkombina 4x^{2} u 55x^{2} biex tikseb 59x^{2}.

$$59x^{2}-2080x+18000$$