Atrisiniet (-x+2)*(5x+3)*(2x-4)-3x*(x+1)=

$$(-x+2) \times (5x+3) \times (2x-4)-3x \times (x+1)=$$

Izrēķināt

$$-10x^{3}+31x^{2}-19x-24$$

Atrisinājuma darbības

Izmantojiet distributīvo īpašību, katru -x+2 locekli reizinot ar katru 5x+3 locekli.

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

Izmantojiet distributīvo īpašību, katru 5\left(-x\right)x+3\left(-x\right)+10x+6 locekli reizinot ar katru 2x-4 locekli.

$$10\left(-x\right)x^{2}-20\left(-x\right)x+6\left(-x\right)x-12\left(-x\right)+20x^{2}-40x+12x-24-3x\left(x+1\right)$$

Reiziniet -20 un -1, lai iegūtu 20.

$$10\left(-x\right)x^{2}+20xx+6\left(-x\right)x-12\left(-x\right)+20x^{2}-40x+12x-24-3x\left(x+1\right)$$

Reiziniet x un x, lai iegūtu x^{2}.

$$10\left(-x\right)x^{2}+20x^{2}+6\left(-x\right)x-12\left(-x\right)+20x^{2}-40x+12x-24-3x\left(x+1\right)$$

Reiziniet -12 un -1, lai iegūtu 12.

$$10\left(-x\right)x^{2}+20x^{2}+6\left(-x\right)x+12x+20x^{2}-40x+12x-24-3x\left(x+1\right)$$

Savelciet 20x^{2} un 20x^{2}, lai iegūtu 40x^{2}.

$$10\left(-x\right)x^{2}+40x^{2}+6\left(-x\right)x+12x-40x+12x-24-3x\left(x+1\right)$$

Savelciet 12x un -40x, lai iegūtu -28x.

$$10\left(-x\right)x^{2}+40x^{2}+6\left(-x\right)x-28x+12x-24-3x\left(x+1\right)$$

Savelciet -28x un 12x, lai iegūtu -16x.

$$10\left(-x\right)x^{2}+40x^{2}+6\left(-x\right)x-16x-24-3x\left(x+1\right)$$

Reiziniet 10 un -1, lai iegūtu -10.

$$-10xx^{2}+40x^{2}+6\left(-1\right)xx-16x-24-3x\left(x+1\right)$$

Lai reizinātu vienas bāzes pakāpes, saskaitiet kāpinātājus. Saskaitiet 1 un 2, lai iegūtu 3.

$$-10x^{3}+40x^{2}+6\left(-1\right)xx-16x-24-3x\left(x+1\right)$$

Reiziniet x un x, lai iegūtu x^{2}.

$$-10x^{3}+40x^{2}+6\left(-1\right)x^{2}-16x-24-3x\left(x+1\right)$$

Reiziniet 6 un -1, lai iegūtu -6.

$$-10x^{3}+40x^{2}-6x^{2}-16x-24-3x\left(x+1\right)$$

Savelciet 40x^{2} un -6x^{2}, lai iegūtu 34x^{2}.

$$-10x^{3}+34x^{2}-16x-24-3x\left(x+1\right)$$

Izmantojiet distributīvo īpašību, lai reizinātu -3x ar x+1.

$$-10x^{3}+34x^{2}-16x-24-3x^{2}-3x$$

Savelciet 34x^{2} un -3x^{2}, lai iegūtu 31x^{2}.

$$-10x^{3}+31x^{2}-16x-24-3x$$

Savelciet -16x un -3x, lai iegūtu -19x.

$$-10x^{3}+31x^{2}-19x-24$$

Paplašināt

$$-10x^{3}+31x^{2}-19x-24$$

Atrisinājuma darbības

Izmantojiet distributīvo īpašību, katru -x+2 locekli reizinot ar katru 5x+3 locekli.

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

Izmantojiet distributīvo īpašību, katru 5\left(-x\right)x+3\left(-x\right)+10x+6 locekli reizinot ar katru 2x-4 locekli.

$$10\left(-x\right)x^{2}-20\left(-x\right)x+6\left(-x\right)x-12\left(-x\right)+20x^{2}-40x+12x-24-3x\left(x+1\right)$$

Reiziniet -20 un -1, lai iegūtu 20.

$$10\left(-x\right)x^{2}+20xx+6\left(-x\right)x-12\left(-x\right)+20x^{2}-40x+12x-24-3x\left(x+1\right)$$

Reiziniet x un x, lai iegūtu x^{2}.

$$10\left(-x\right)x^{2}+20x^{2}+6\left(-x\right)x-12\left(-x\right)+20x^{2}-40x+12x-24-3x\left(x+1\right)$$

Reiziniet -12 un -1, lai iegūtu 12.

$$10\left(-x\right)x^{2}+20x^{2}+6\left(-x\right)x+12x+20x^{2}-40x+12x-24-3x\left(x+1\right)$$

Savelciet 20x^{2} un 20x^{2}, lai iegūtu 40x^{2}.

$$10\left(-x\right)x^{2}+40x^{2}+6\left(-x\right)x+12x-40x+12x-24-3x\left(x+1\right)$$

Savelciet 12x un -40x, lai iegūtu -28x.

$$10\left(-x\right)x^{2}+40x^{2}+6\left(-x\right)x-28x+12x-24-3x\left(x+1\right)$$

Savelciet -28x un 12x, lai iegūtu -16x.

$$10\left(-x\right)x^{2}+40x^{2}+6\left(-x\right)x-16x-24-3x\left(x+1\right)$$

Reiziniet 10 un -1, lai iegūtu -10.

$$-10xx^{2}+40x^{2}+6\left(-1\right)xx-16x-24-3x\left(x+1\right)$$

Lai reizinātu vienas bāzes pakāpes, saskaitiet kāpinātājus. Saskaitiet 1 un 2, lai iegūtu 3.

$$-10x^{3}+40x^{2}+6\left(-1\right)xx-16x-24-3x\left(x+1\right)$$

Reiziniet x un x, lai iegūtu x^{2}.

$$-10x^{3}+40x^{2}+6\left(-1\right)x^{2}-16x-24-3x\left(x+1\right)$$

Reiziniet 6 un -1, lai iegūtu -6.

$$-10x^{3}+40x^{2}-6x^{2}-16x-24-3x\left(x+1\right)$$

Savelciet 40x^{2} un -6x^{2}, lai iegūtu 34x^{2}.

$$-10x^{3}+34x^{2}-16x-24-3x\left(x+1\right)$$

Izmantojiet distributīvo īpašību, lai reizinātu -3x ar x+1.

$$-10x^{3}+34x^{2}-16x-24-3x^{2}-3x$$

Savelciet 34x^{2} un -3x^{2}, lai iegūtu 31x^{2}.

$$-10x^{3}+31x^{2}-16x-24-3x$$

Savelciet -16x un -3x, lai iegūtu -19x.

$$-10x^{3}+31x^{2}-19x-24$$