Selesaikan left(77-85.5right)^2+left(82-85.5right)^2+left(86-85.5right)^2+left(78-85.5right)^2+{left(81-85.5right)}^2+{left(86-85.5right)}^2+{left(77-85.5right)}^2+{left(81-85.5right)}^2

$${ \left(77-85.5 \right) }^{ 2 } + { \left(82-85.5 \right) }^{ 2 } + { \left(86-85.5 \right) }^{ 2 } + { \left(78-85.5 \right) }^{ 2 } + { \left(81-85.5 \right) }^{ 2 } + { \left(86-85.5 \right) }^{ 2 } + { \left(77-85.5 \right) }^{ 2 } + { \left(81-85.5 \right) }^{ 2 }$$

Nilaikan

$$254$$

Langkah Penyelesaian

Tolak 85.5 daripada 77 untuk mendapatkan -8.5.

$$\left(-8.5\right)^{2}+\left(82-85.5\right)^{2}+\left(86-85.5\right)^{2}+\left(78-85.5\right)^{2}+\left(81-85.5\right)^{2}+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Kira -8.5 dikuasakan 2 dan dapatkan 72.25.

$$72.25+\left(82-85.5\right)^{2}+\left(86-85.5\right)^{2}+\left(78-85.5\right)^{2}+\left(81-85.5\right)^{2}+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Tolak 85.5 daripada 82 untuk mendapatkan -3.5.

$$72.25+\left(-3.5\right)^{2}+\left(86-85.5\right)^{2}+\left(78-85.5\right)^{2}+\left(81-85.5\right)^{2}+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Kira -3.5 dikuasakan 2 dan dapatkan 12.25.

$$72.25+12.25+\left(86-85.5\right)^{2}+\left(78-85.5\right)^{2}+\left(81-85.5\right)^{2}+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Tambahkan 72.25 dan 12.25 untuk dapatkan 84.5.

$$84.5+\left(86-85.5\right)^{2}+\left(78-85.5\right)^{2}+\left(81-85.5\right)^{2}+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Tolak 85.5 daripada 86 untuk mendapatkan 0.5.

$$84.5+0.5^{2}+\left(78-85.5\right)^{2}+\left(81-85.5\right)^{2}+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Kira 0.5 dikuasakan 2 dan dapatkan 0.25.

$$84.5+0.25+\left(78-85.5\right)^{2}+\left(81-85.5\right)^{2}+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Tambahkan 84.5 dan 0.25 untuk dapatkan 84.75.

$$84.75+\left(78-85.5\right)^{2}+\left(81-85.5\right)^{2}+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Tolak 85.5 daripada 78 untuk mendapatkan -7.5.

$$84.75+\left(-7.5\right)^{2}+\left(81-85.5\right)^{2}+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Kira -7.5 dikuasakan 2 dan dapatkan 56.25.

$$84.75+56.25+\left(81-85.5\right)^{2}+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Tambahkan 84.75 dan 56.25 untuk dapatkan 141.

$$141+\left(81-85.5\right)^{2}+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Tolak 85.5 daripada 81 untuk mendapatkan -4.5.

$$141+\left(-4.5\right)^{2}+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Kira -4.5 dikuasakan 2 dan dapatkan 20.25.

$$141+20.25+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Tambahkan 141 dan 20.25 untuk dapatkan 161.25.

$$161.25+\left(86-85.5\right)^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Tolak 85.5 daripada 86 untuk mendapatkan 0.5.

$$161.25+0.5^{2}+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Kira 0.5 dikuasakan 2 dan dapatkan 0.25.

$$161.25+0.25+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Tambahkan 161.25 dan 0.25 untuk dapatkan 161.5.

$$161.5+\left(77-85.5\right)^{2}+\left(81-85.5\right)^{2}$$

Tolak 85.5 daripada 77 untuk mendapatkan -8.5.

$$161.5+\left(-8.5\right)^{2}+\left(81-85.5\right)^{2}$$

Kira -8.5 dikuasakan 2 dan dapatkan 72.25.

$$161.5+72.25+\left(81-85.5\right)^{2}$$

Tambahkan 161.5 dan 72.25 untuk dapatkan 233.75.

$$233.75+\left(81-85.5\right)^{2}$$

Tolak 85.5 daripada 81 untuk mendapatkan -4.5.

$$233.75+\left(-4.5\right)^{2}$$

Kira -4.5 dikuasakan 2 dan dapatkan 20.25.

$$233.75+20.25$$

Tambahkan 233.75 dan 20.25 untuk dapatkan 254.

$$254$$

Faktor

$$2\times 127$$