Selesaikan left(88-85.5right)^2+left(94-85.5right)^2+left(93-85.5right)^2+left(90-85.5right)^2+{left(91-85.5right)}^2+{left(94-85.5right)}^2+{left(90-85.5right)}^2+{left(87-85.5right)}^2

$${ \left(88-85.5 \right) }^{ 2 } + { \left(94-85.5 \right) }^{ 2 } + { \left(93-85.5 \right) }^{ 2 } + { \left(90-85.5 \right) }^{ 2 } + { \left(91-85.5 \right) }^{ 2 } + { \left(94-85.5 \right) }^{ 2 } + { \left(90-85.5 \right) }^{ 2 } + { \left(87-85.5 \right) }^{ 2 }$$

Nilaikan

$$280$$

Langkah Penyelesaian

Tolak 85.5 daripada 88 untuk mendapatkan 2.5.

$$2.5^{2}+\left(94-85.5\right)^{2}+\left(93-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(91-85.5\right)^{2}+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Kira 2.5 dikuasakan 2 dan dapatkan 6.25.

$$6.25+\left(94-85.5\right)^{2}+\left(93-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(91-85.5\right)^{2}+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Tolak 85.5 daripada 94 untuk mendapatkan 8.5.

$$6.25+8.5^{2}+\left(93-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(91-85.5\right)^{2}+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Kira 8.5 dikuasakan 2 dan dapatkan 72.25.

$$6.25+72.25+\left(93-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(91-85.5\right)^{2}+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Tambahkan 6.25 dan 72.25 untuk dapatkan 78.5.

$$78.5+\left(93-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(91-85.5\right)^{2}+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Tolak 85.5 daripada 93 untuk mendapatkan 7.5.

$$78.5+7.5^{2}+\left(90-85.5\right)^{2}+\left(91-85.5\right)^{2}+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Kira 7.5 dikuasakan 2 dan dapatkan 56.25.

$$78.5+56.25+\left(90-85.5\right)^{2}+\left(91-85.5\right)^{2}+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Tambahkan 78.5 dan 56.25 untuk dapatkan 134.75.

$$134.75+\left(90-85.5\right)^{2}+\left(91-85.5\right)^{2}+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Tolak 85.5 daripada 90 untuk mendapatkan 4.5.

$$134.75+4.5^{2}+\left(91-85.5\right)^{2}+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Kira 4.5 dikuasakan 2 dan dapatkan 20.25.

$$134.75+20.25+\left(91-85.5\right)^{2}+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Tambahkan 134.75 dan 20.25 untuk dapatkan 155.

$$155+\left(91-85.5\right)^{2}+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Tolak 85.5 daripada 91 untuk mendapatkan 5.5.

$$155+5.5^{2}+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Kira 5.5 dikuasakan 2 dan dapatkan 30.25.

$$155+30.25+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Tambahkan 155 dan 30.25 untuk dapatkan 185.25.

$$185.25+\left(94-85.5\right)^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Tolak 85.5 daripada 94 untuk mendapatkan 8.5.

$$185.25+8.5^{2}+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Kira 8.5 dikuasakan 2 dan dapatkan 72.25.

$$185.25+72.25+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Tambahkan 185.25 dan 72.25 untuk dapatkan 257.5.

$$257.5+\left(90-85.5\right)^{2}+\left(87-85.5\right)^{2}$$

Tolak 85.5 daripada 90 untuk mendapatkan 4.5.

$$257.5+4.5^{2}+\left(87-85.5\right)^{2}$$

Kira 4.5 dikuasakan 2 dan dapatkan 20.25.

$$257.5+20.25+\left(87-85.5\right)^{2}$$

Tambahkan 257.5 dan 20.25 untuk dapatkan 277.75.

$$277.75+\left(87-85.5\right)^{2}$$

Tolak 85.5 daripada 87 untuk mendapatkan 1.5.

$$277.75+1.5^{2}$$

Kira 1.5 dikuasakan 2 dan dapatkan 2.25.

$$277.75+2.25$$

Tambahkan 277.75 dan 2.25 untuk dapatkan 280.

$$280$$

Faktor

$$5\times 7\times 2^{3}$$