Atrisiniet y^5-5*2x+5+10left(2xright)^35^2-10left(2xright)^2{5}^3+5*2x{5}^4-{5}^5

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

Izrēķināt

$$2000x^{3}-5000x^{2}+6240x+y^{5}-3120$$

Atrisinājuma darbības

Lai reizinātu vienas bāzes pakāpes, saskaitiet kāpinātājus. Saskaitiet 1 un 4, lai iegūtu 5.

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

Reiziniet 5 un 2, lai iegūtu 10.

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

Paplašiniet \left(2x\right)^{3}.

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

Aprēķiniet 2 pakāpē 3 un iegūstiet 8.

$$y^{5}-10x+5+10\times 8x^{3}\times 5^{2}-10\times \left(2x\right)^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Reiziniet 10 un 8, lai iegūtu 80.

$$y^{5}-10x+5+80x^{3}\times 5^{2}-10\times \left(2x\right)^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Aprēķiniet 5 pakāpē 2 un iegūstiet 25.

$$y^{5}-10x+5+80x^{3}\times 25-10\times \left(2x\right)^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Reiziniet 80 un 25, lai iegūtu 2000.

$$y^{5}-10x+5+2000x^{3}-10\times \left(2x\right)^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Paplašiniet \left(2x\right)^{2}.

$$y^{5}-10x+5+2000x^{3}-10\times 2^{2}x^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Aprēķiniet 2 pakāpē 2 un iegūstiet 4.

$$y^{5}-10x+5+2000x^{3}-10\times 4x^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Reiziniet 10 un 4, lai iegūtu 40.

$$y^{5}-10x+5+2000x^{3}-40x^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Aprēķiniet 5 pakāpē 3 un iegūstiet 125.

$$y^{5}-10x+5+2000x^{3}-40x^{2}\times 125+5^{5}\times 2x-5^{5}$$

Reiziniet 40 un 125, lai iegūtu 5000.

$$y^{5}-10x+5+2000x^{3}-5000x^{2}+5^{5}\times 2x-5^{5}$$

Aprēķiniet 5 pakāpē 5 un iegūstiet 3125.

$$y^{5}-10x+5+2000x^{3}-5000x^{2}+3125\times 2x-5^{5}$$

Reiziniet 3125 un 2, lai iegūtu 6250.

$$y^{5}-10x+5+2000x^{3}-5000x^{2}+6250x-5^{5}$$

Savelciet -10x un 6250x, lai iegūtu 6240x.

$$y^{5}+6240x+5+2000x^{3}-5000x^{2}-5^{5}$$

Aprēķiniet 5 pakāpē 5 un iegūstiet 3125.

$$y^{5}+6240x+5+2000x^{3}-5000x^{2}-3125$$

Atņemiet 3125 no 5, lai iegūtu -3120.

$$y^{5}+6240x-3120+2000x^{3}-5000x^{2}$$

Paplašināt

$$2000x^{3}-5000x^{2}+6240x+y^{5}-3120$$

Atrisinājuma darbības

Lai reizinātu vienas bāzes pakāpes, saskaitiet kāpinātājus. Saskaitiet 1 un 4, lai iegūtu 5.

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

Reiziniet 5 un 2, lai iegūtu 10.

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

Paplašiniet \left(2x\right)^{3}.

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

Aprēķiniet 2 pakāpē 3 un iegūstiet 8.

$$y^{5}-10x+5+10\times 8x^{3}\times 5^{2}-10\times \left(2x\right)^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Reiziniet 10 un 8, lai iegūtu 80.

$$y^{5}-10x+5+80x^{3}\times 5^{2}-10\times \left(2x\right)^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Aprēķiniet 5 pakāpē 2 un iegūstiet 25.

$$y^{5}-10x+5+80x^{3}\times 25-10\times \left(2x\right)^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Reiziniet 80 un 25, lai iegūtu 2000.

$$y^{5}-10x+5+2000x^{3}-10\times \left(2x\right)^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Paplašiniet \left(2x\right)^{2}.

$$y^{5}-10x+5+2000x^{3}-10\times 2^{2}x^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Aprēķiniet 2 pakāpē 2 un iegūstiet 4.

$$y^{5}-10x+5+2000x^{3}-10\times 4x^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Reiziniet 10 un 4, lai iegūtu 40.

$$y^{5}-10x+5+2000x^{3}-40x^{2}\times 5^{3}+5^{5}\times 2x-5^{5}$$

Aprēķiniet 5 pakāpē 3 un iegūstiet 125.

$$y^{5}-10x+5+2000x^{3}-40x^{2}\times 125+5^{5}\times 2x-5^{5}$$

Reiziniet 40 un 125, lai iegūtu 5000.

$$y^{5}-10x+5+2000x^{3}-5000x^{2}+5^{5}\times 2x-5^{5}$$

Aprēķiniet 5 pakāpē 5 un iegūstiet 3125.

$$y^{5}-10x+5+2000x^{3}-5000x^{2}+3125\times 2x-5^{5}$$

Reiziniet 3125 un 2, lai iegūtu 6250.

$$y^{5}-10x+5+2000x^{3}-5000x^{2}+6250x-5^{5}$$

Savelciet -10x un 6250x, lai iegūtu 6240x.

$$y^{5}+6240x+5+2000x^{3}-5000x^{2}-5^{5}$$

Aprēķiniet 5 pakāpē 5 un iegūstiet 3125.

$$y^{5}+6240x+5+2000x^{3}-5000x^{2}-3125$$

Atņemiet 3125 no 5, lai iegūtu -3120.

$$y^{5}+6240x-3120+2000x^{3}-5000x^{2}$$