Basic Math Examples

${(250 - 2438)}^{2} \cdot 5 + {(750 - 2438)}^{2} \cdot 17 + {(1250 - 2438)}^{2} \cdot 33 + {(1750 - 2438)}^{2} \cdot 121 + {(2250 - 2438)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1

Simplify each term.

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Step 1.1

Subtract $2438$ from $250$ .

${(- 2188)}^{2} \cdot 5 + {(750 - 2438)}^{2} \cdot 17 + {(1250 - 2438)}^{2} \cdot 33 + {(1750 - 2438)}^{2} \cdot 121 + {(2250 - 2438)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.2

Raise $- 2188$ to the power of $2$ .

$4787344 \cdot 5 + {(750 - 2438)}^{2} \cdot 17 + {(1250 - 2438)}^{2} \cdot 33 + {(1750 - 2438)}^{2} \cdot 121 + {(2250 - 2438)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.3

Multiply $4787344$ by $5$ .

$23936720 + {(750 - 2438)}^{2} \cdot 17 + {(1250 - 2438)}^{2} \cdot 33 + {(1750 - 2438)}^{2} \cdot 121 + {(2250 - 2438)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.4

Subtract $2438$ from $750$ .

$23936720 + {(- 1688)}^{2} \cdot 17 + {(1250 - 2438)}^{2} \cdot 33 + {(1750 - 2438)}^{2} \cdot 121 + {(2250 - 2438)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.5

Raise $- 1688$ to the power of $2$ .

$23936720 + 2849344 \cdot 17 + {(1250 - 2438)}^{2} \cdot 33 + {(1750 - 2438)}^{2} \cdot 121 + {(2250 - 2438)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.6

Multiply $2849344$ by $17$ .

$23936720 + 48438848 + {(1250 - 2438)}^{2} \cdot 33 + {(1750 - 2438)}^{2} \cdot 121 + {(2250 - 2438)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.7

Subtract $2438$ from $1250$ .

$23936720 + 48438848 + {(- 1188)}^{2} \cdot 33 + {(1750 - 2438)}^{2} \cdot 121 + {(2250 - 2438)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.8

Raise $- 1188$ to the power of $2$ .

$23936720 + 48438848 + 1411344 \cdot 33 + {(1750 - 2438)}^{2} \cdot 121 + {(2250 - 2438)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.9

Multiply $1411344$ by $33$ .

$23936720 + 48438848 + 46574352 + {(1750 - 2438)}^{2} \cdot 121 + {(2250 - 2438)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.10

Subtract $2438$ from $1750$ .

$23936720 + 48438848 + 46574352 + {(- 688)}^{2} \cdot 121 + {(2250 - 2438)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.11

Raise $- 688$ to the power of $2$ .

$23936720 + 48438848 + 46574352 + 473344 \cdot 121 + {(2250 - 2438)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.12

Multiply $473344$ by $121$ .

$23936720 + 48438848 + 46574352 + 57274624 + {(2250 - 2438)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.13

Subtract $2438$ from $2250$ .

$23936720 + 48438848 + 46574352 + 57274624 + {(- 188)}^{2} \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.14

Raise $- 188$ to the power of $2$ .

$23936720 + 48438848 + 46574352 + 57274624 + 35344 \cdot 119 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.15

Multiply $35344$ by $119$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + {(2750 - 2438)}^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.16

Subtract $2438$ from $2750$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 312^{2} \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.17

Raise $312$ to the power of $2$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 97344 \cdot 83 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.18

Multiply $97344$ by $83$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 8079552 + {(3250 - 2438)}^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.19

Subtract $2438$ from $3250$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 8079552 + 812^{2} \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.20

Raise $812$ to the power of $2$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 8079552 + 659344 \cdot 45 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.21

Multiply $659344$ by $45$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 8079552 + 29670480 + {(3750 - 2438)}^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.22

Subtract $2438$ from $3750$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 8079552 + 29670480 + 1312^{2} \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.23

Raise $1312$ to the power of $2$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 8079552 + 29670480 + 1721344 \cdot 45 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.24

Multiply $1721344$ by $45$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 8079552 + 29670480 + 77460480 + {(4250 - 2438)}^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.25

Subtract $2438$ from $4250$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 8079552 + 29670480 + 77460480 + 1812^{2} \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.26

Raise $1812$ to the power of $2$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 8079552 + 29670480 + 77460480 + 3283344 \cdot 22 + {(4750 - 2438)}^{2} + 10$

Step 1.27

Multiply $3283344$ by $22$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 8079552 + 29670480 + 77460480 + 72233568 + {(4750 - 2438)}^{2} + 10$

Step 1.28

Subtract $2438$ from $4750$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 8079552 + 29670480 + 77460480 + 72233568 + 2312^{2} + 10$

Step 1.29

Raise $2312$ to the power of $2$ .

$23936720 + 48438848 + 46574352 + 57274624 + 4205936 + 8079552 + 29670480 + 77460480 + 72233568 + 5345344 + 10$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $23936720$ and $48438848$ .

$72375568 + 46574352 + 57274624 + 4205936 + 8079552 + 29670480 + 77460480 + 72233568 + 5345344 + 10$

Step 2.2

Add $72375568$ and $46574352$ .

$118949920 + 57274624 + 4205936 + 8079552 + 29670480 + 77460480 + 72233568 + 5345344 + 10$

Step 2.3

Add $118949920$ and $57274624$ .

$176224544 + 4205936 + 8079552 + 29670480 + 77460480 + 72233568 + 5345344 + 10$

Step 2.4

Add $176224544$ and $4205936$ .

$180430480 + 8079552 + 29670480 + 77460480 + 72233568 + 5345344 + 10$

Step 2.5

Add $180430480$ and $8079552$ .

$188510032 + 29670480 + 77460480 + 72233568 + 5345344 + 10$

Step 2.6

Add $188510032$ and $29670480$ .

$218180512 + 77460480 + 72233568 + 5345344 + 10$

Step 2.7

Add $218180512$ and $77460480$ .

$295640992 + 72233568 + 5345344 + 10$

Step 2.8

Add $295640992$ and $72233568$ .

$367874560 + 5345344 + 10$

Step 2.9

Add $367874560$ and $5345344$ .

$373219904 + 10$

Step 2.10

Add $373219904$ and $10$ .

$373219914$