حل 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

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

تقييم

$$280$$

خطوات الحل

اطرح 85.5 من 88 لتحصل على 2.5.

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

احسب 2.5 بالأس 2 لتحصل على 6.25.

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

اطرح 85.5 من 94 لتحصل على 8.5.

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

احسب 8.5 بالأس 2 لتحصل على 72.25.

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

اجمع 6.25 مع 72.25 لتحصل على 78.5.

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

اطرح 85.5 من 93 لتحصل على 7.5.

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

احسب 7.5 بالأس 2 لتحصل على 56.25.

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

اجمع 78.5 مع 56.25 لتحصل على 134.75.

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

اطرح 85.5 من 90 لتحصل على 4.5.

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

احسب 4.5 بالأس 2 لتحصل على 20.25.

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

اجمع 134.75 مع 20.25 لتحصل على 155.

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

اطرح 85.5 من 91 لتحصل على 5.5.

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

احسب 5.5 بالأس 2 لتحصل على 30.25.

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

اجمع 155 مع 30.25 لتحصل على 185.25.

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

اطرح 85.5 من 94 لتحصل على 8.5.

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

احسب 8.5 بالأس 2 لتحصل على 72.25.

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

اجمع 185.25 مع 72.25 لتحصل على 257.5.

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

اطرح 85.5 من 90 لتحصل على 4.5.

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

احسب 4.5 بالأس 2 لتحصل على 20.25.

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

اجمع 257.5 مع 20.25 لتحصل على 277.75.

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

اطرح 85.5 من 87 لتحصل على 1.5.

$$277.75+1.5^{2}$$

احسب 1.5 بالأس 2 لتحصل على 2.25.

$$277.75+2.25$$

اجمع 277.75 مع 2.25 لتحصل على 280.

$$280$$

تحليل العوامل

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