Selesaikan left(88-90875right)^2+left(94-90875right)^2+left(93-90875right)^2+left(90-90875right)^2+{left(91-90875right)}^2+{left(94-90875right)}^2+{left(90-90875right)}^2+{left(87-90875right)}^2

$${ \left(88-90875 \right) }^{ 2 } + { \left(94-90875 \right) }^{ 2 } + { \left(93-90875 \right) }^{ 2 } + { \left(90-90875 \right) }^{ 2 } + { \left(91-90875 \right) }^{ 2 } + { \left(94-90875 \right) }^{ 2 } + { \left(90-90875 \right) }^{ 2 } + { \left(87-90875 \right) }^{ 2 }$$

Nilaikan

$$65934058865$$

Langkah Penyelesaian

Tolak 90875 daripada 88 untuk mendapatkan -90787.

$$\left(-90787\right)^{2}+\left(94-90875\right)^{2}+\left(93-90875\right)^{2}+\left(90-90875\right)^{2}+\left(91-90875\right)^{2}+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Kira -90787 dikuasakan 2 dan dapatkan 8242279369.

$$8242279369+\left(94-90875\right)^{2}+\left(93-90875\right)^{2}+\left(90-90875\right)^{2}+\left(91-90875\right)^{2}+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Tolak 90875 daripada 94 untuk mendapatkan -90781.

$$8242279369+\left(-90781\right)^{2}+\left(93-90875\right)^{2}+\left(90-90875\right)^{2}+\left(91-90875\right)^{2}+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Kira -90781 dikuasakan 2 dan dapatkan 8241189961.

$$8242279369+8241189961+\left(93-90875\right)^{2}+\left(90-90875\right)^{2}+\left(91-90875\right)^{2}+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Tambahkan 8242279369 dan 8241189961 untuk dapatkan 16483469330.

$$16483469330+\left(93-90875\right)^{2}+\left(90-90875\right)^{2}+\left(91-90875\right)^{2}+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Tolak 90875 daripada 93 untuk mendapatkan -90782.

$$16483469330+\left(-90782\right)^{2}+\left(90-90875\right)^{2}+\left(91-90875\right)^{2}+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Kira -90782 dikuasakan 2 dan dapatkan 8241371524.

$$16483469330+8241371524+\left(90-90875\right)^{2}+\left(91-90875\right)^{2}+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Tambahkan 16483469330 dan 8241371524 untuk dapatkan 24724840854.

$$24724840854+\left(90-90875\right)^{2}+\left(91-90875\right)^{2}+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Tolak 90875 daripada 90 untuk mendapatkan -90785.

$$24724840854+\left(-90785\right)^{2}+\left(91-90875\right)^{2}+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Kira -90785 dikuasakan 2 dan dapatkan 8241916225.

$$24724840854+8241916225+\left(91-90875\right)^{2}+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Tambahkan 24724840854 dan 8241916225 untuk dapatkan 32966757079.

$$32966757079+\left(91-90875\right)^{2}+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Tolak 90875 daripada 91 untuk mendapatkan -90784.

$$32966757079+\left(-90784\right)^{2}+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Kira -90784 dikuasakan 2 dan dapatkan 8241734656.

$$32966757079+8241734656+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Tambahkan 32966757079 dan 8241734656 untuk dapatkan 41208491735.

$$41208491735+\left(94-90875\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Tolak 90875 daripada 94 untuk mendapatkan -90781.

$$41208491735+\left(-90781\right)^{2}+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Kira -90781 dikuasakan 2 dan dapatkan 8241189961.

$$41208491735+8241189961+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Tambahkan 41208491735 dan 8241189961 untuk dapatkan 49449681696.

$$49449681696+\left(90-90875\right)^{2}+\left(87-90875\right)^{2}$$

Tolak 90875 daripada 90 untuk mendapatkan -90785.

$$49449681696+\left(-90785\right)^{2}+\left(87-90875\right)^{2}$$

Kira -90785 dikuasakan 2 dan dapatkan 8241916225.

$$49449681696+8241916225+\left(87-90875\right)^{2}$$

Tambahkan 49449681696 dan 8241916225 untuk dapatkan 57691597921.

$$57691597921+\left(87-90875\right)^{2}$$

Tolak 90875 daripada 87 untuk mendapatkan -90788.

$$57691597921+\left(-90788\right)^{2}$$

Kira -90788 dikuasakan 2 dan dapatkan 8242460944.

$$57691597921+8242460944$$

Tambahkan 57691597921 dan 8242460944 untuk dapatkan 65934058865.

$$65934058865$$

Faktor

$$5\times 2273\times 5801501$$