Issolvi (4)(x^2-3)*(x+1)-(x^2+5)*(x-2)

$$( 4 ) ( x ^ { 2 } - 3 ) \cdot ( x + 1 ) - ( x ^ { 2 } + 5 ) \cdot ( x - 2 )$$

Evalwa

$$3x^{3}+6x^{2}-17x-2$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 4 b'x^{2}-3.

$$\left(4x^{2}-12\right)\left(x+1\right)-\left(x^{2}+5\right)\left(x-2\right)$$

Uża l-propjetà distributtiva biex timmultiplika 4x^{2}-12 b'x+1.

$$4x^{3}+4x^{2}-12x-12-\left(x^{2}+5\right)\left(x-2\right)$$

Uża l-propjetà distributtiva biex timmultiplika x^{2}+5 b'x-2.

$$4x^{3}+4x^{2}-12x-12-\left(x^{3}-2x^{2}+5x-10\right)$$

Biex issib l-oppost ta' x^{3}-2x^{2}+5x-10, sib l-oppost ta' kull terminu.

$$4x^{3}+4x^{2}-12x-12-x^{3}+2x^{2}-5x+10$$

Ikkombina 4x^{3} u -x^{3} biex tikseb 3x^{3}.

$$3x^{3}+4x^{2}-12x-12+2x^{2}-5x+10$$

Ikkombina 4x^{2} u 2x^{2} biex tikseb 6x^{2}.

$$3x^{3}+6x^{2}-12x-12-5x+10$$

Ikkombina -12x u -5x biex tikseb -17x.

$$3x^{3}+6x^{2}-17x-12+10$$

Żid -12 u 10 biex tikseb -2.

$$3x^{3}+6x^{2}-17x-2$$

Espandi

$$3x^{3}+6x^{2}-17x-2$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 4 b'x^{2}-3.

$$\left(4x^{2}-12\right)\left(x+1\right)-\left(x^{2}+5\right)\left(x-2\right)$$

Uża l-propjetà distributtiva biex timmultiplika 4x^{2}-12 b'x+1.

$$4x^{3}+4x^{2}-12x-12-\left(x^{2}+5\right)\left(x-2\right)$$

Uża l-propjetà distributtiva biex timmultiplika x^{2}+5 b'x-2.

$$4x^{3}+4x^{2}-12x-12-\left(x^{3}-2x^{2}+5x-10\right)$$

Biex issib l-oppost ta' x^{3}-2x^{2}+5x-10, sib l-oppost ta' kull terminu.

$$4x^{3}+4x^{2}-12x-12-x^{3}+2x^{2}-5x+10$$

Ikkombina 4x^{3} u -x^{3} biex tikseb 3x^{3}.

$$3x^{3}+4x^{2}-12x-12+2x^{2}-5x+10$$

Ikkombina 4x^{2} u 2x^{2} biex tikseb 6x^{2}.

$$3x^{3}+6x^{2}-12x-12-5x+10$$

Ikkombina -12x u -5x biex tikseb -17x.

$$3x^{3}+6x^{2}-17x-12+10$$

Żid -12 u 10 biex tikseb -2.

$$3x^{3}+6x^{2}-17x-2$$