Issolvi (2x+3)(5x-2)-2(5x-3)(x+1)

$$( 2 x + 3 ) ( 5 x - 2 ) - 2 ( 5 x - 3 ) ( x + 1 )$$

Evalwa

$$7x$$

Passi tas-Soluzzjonijiet

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 2x+3 b'kull terminu ta' 5x-2.

$$10x^{2}-4x+15x-6-2\left(5x-3\right)\left(x+1\right)$$

Ikkombina -4x u 15x biex tikseb 11x.

$$10x^{2}+11x-6-2\left(5x-3\right)\left(x+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika -2 b'5x-3.

$$10x^{2}+11x-6+\left(-10x+6\right)\left(x+1\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' -10x+6 b'kull terminu ta' x+1.

$$10x^{2}+11x-6-10x^{2}-10x+6x+6$$

Ikkombina -10x u 6x biex tikseb -4x.

$$10x^{2}+11x-6-10x^{2}-4x+6$$

Ikkombina 10x^{2} u -10x^{2} biex tikseb 0.

$$11x-6-4x+6$$

Ikkombina 11x u -4x biex tikseb 7x.

$$7x-6+6$$

Żid -6 u 6 biex tikseb 0.

$$7x$$

Espandi

$$7x$$

Passi tas-Soluzzjonijiet

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 2x+3 b'kull terminu ta' 5x-2.

$$10x^{2}-4x+15x-6-2\left(5x-3\right)\left(x+1\right)$$

Ikkombina -4x u 15x biex tikseb 11x.

$$10x^{2}+11x-6-2\left(5x-3\right)\left(x+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika -2 b'5x-3.

$$10x^{2}+11x-6+\left(-10x+6\right)\left(x+1\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' -10x+6 b'kull terminu ta' x+1.

$$10x^{2}+11x-6-10x^{2}-10x+6x+6$$

Ikkombina -10x u 6x biex tikseb -4x.

$$10x^{2}+11x-6-10x^{2}-4x+6$$

Ikkombina 10x^{2} u -10x^{2} biex tikseb 0.

$$11x-6-4x+6$$

Ikkombina 11x u -4x biex tikseb 7x.

$$7x-6+6$$

Żid -6 u 6 biex tikseb 0.

$$7x$$