Issolvi (5x+2)(-2x+3)+4(-2x+3)-7x(-2x+3

$$( 5 x + 2 ) ( - 2 x + 3 ) + 4 ( - 2 x + 3 ) - 7 x ( - 2 x + 3$$

Evalwa

$$2\left(x-3\right)\left(2x-3\right)$$

Passi tas-Soluzzjonijiet

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

$$-10x^{2}+15x-4x+6+4\left(-2x+3\right)-7x\left(-2x+3\right)$$

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

$$-10x^{2}+11x+6+4\left(-2x+3\right)-7x\left(-2x+3\right)$$

Uża l-propjetà distributtiva biex timmultiplika 4 b'-2x+3.

$$-10x^{2}+11x+6-8x+12-7x\left(-2x+3\right)$$

Ikkombina 11x u -8x biex tikseb 3x.

$$-10x^{2}+3x+6+12-7x\left(-2x+3\right)$$

Żid 6 u 12 biex tikseb 18.

$$-10x^{2}+3x+18-7x\left(-2x+3\right)$$

Uża l-propjetà distributtiva biex timmultiplika -7x b'-2x+3.

$$-10x^{2}+3x+18+14x^{2}-21x$$

Ikkombina -10x^{2} u 14x^{2} biex tikseb 4x^{2}.

$$4x^{2}+3x+18-21x$$

Ikkombina 3x u -21x biex tikseb -18x.

$$4x^{2}-18x+18$$

Espandi

$$4x^{2}-18x+18$$

Passi tas-Soluzzjonijiet

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

$$-10x^{2}+15x-4x+6+4\left(-2x+3\right)-7x\left(-2x+3\right)$$

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

$$-10x^{2}+11x+6+4\left(-2x+3\right)-7x\left(-2x+3\right)$$

Uża l-propjetà distributtiva biex timmultiplika 4 b'-2x+3.

$$-10x^{2}+11x+6-8x+12-7x\left(-2x+3\right)$$

Ikkombina 11x u -8x biex tikseb 3x.

$$-10x^{2}+3x+6+12-7x\left(-2x+3\right)$$

Żid 6 u 12 biex tikseb 18.

$$-10x^{2}+3x+18-7x\left(-2x+3\right)$$

Uża l-propjetà distributtiva biex timmultiplika -7x b'-2x+3.

$$-10x^{2}+3x+18+14x^{2}-21x$$

Ikkombina -10x^{2} u 14x^{2} biex tikseb 4x^{2}.

$$4x^{2}+3x+18-21x$$

Ikkombina 3x u -21x biex tikseb -18x.

$$4x^{2}-18x+18$$