Basic Math Examples

${(121 - 146)}^{2} \cdot 1 + {(156 - 146)}^{2} \cdot 1 + {(175 - 146)}^{2} \cdot 1 + {(161 - 146)}^{2} \cdot 1 + {(117 - 146)}^{2} \cdot 1$

Step 1

Simplify each term.

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Step 1.1

Subtract $146$ from $121$ .

${(- 25)}^{2} \cdot 1 + {(156 - 146)}^{2} \cdot 1 + {(175 - 146)}^{2} \cdot 1 + {(161 - 146)}^{2} \cdot 1 + {(117 - 146)}^{2} \cdot 1$

Step 1.2

Raise $- 25$ to the power of $2$ .

$625 \cdot 1 + {(156 - 146)}^{2} \cdot 1 + {(175 - 146)}^{2} \cdot 1 + {(161 - 146)}^{2} \cdot 1 + {(117 - 146)}^{2} \cdot 1$

Step 1.3

Multiply $625$ by $1$ .

$625 + {(156 - 146)}^{2} \cdot 1 + {(175 - 146)}^{2} \cdot 1 + {(161 - 146)}^{2} \cdot 1 + {(117 - 146)}^{2} \cdot 1$

Step 1.4

Subtract $146$ from $156$ .

$625 + 10^{2} \cdot 1 + {(175 - 146)}^{2} \cdot 1 + {(161 - 146)}^{2} \cdot 1 + {(117 - 146)}^{2} \cdot 1$

Step 1.5

Raise $10$ to the power of $2$ .

$625 + 100 \cdot 1 + {(175 - 146)}^{2} \cdot 1 + {(161 - 146)}^{2} \cdot 1 + {(117 - 146)}^{2} \cdot 1$

Step 1.6

Multiply $100$ by $1$ .

$625 + 100 + {(175 - 146)}^{2} \cdot 1 + {(161 - 146)}^{2} \cdot 1 + {(117 - 146)}^{2} \cdot 1$

Step 1.7

Subtract $146$ from $175$ .

$625 + 100 + 29^{2} \cdot 1 + {(161 - 146)}^{2} \cdot 1 + {(117 - 146)}^{2} \cdot 1$

Step 1.8

Raise $29$ to the power of $2$ .

$625 + 100 + 841 \cdot 1 + {(161 - 146)}^{2} \cdot 1 + {(117 - 146)}^{2} \cdot 1$

Step 1.9

Multiply $841$ by $1$ .

$625 + 100 + 841 + {(161 - 146)}^{2} \cdot 1 + {(117 - 146)}^{2} \cdot 1$

Step 1.10

Subtract $146$ from $161$ .

$625 + 100 + 841 + 15^{2} \cdot 1 + {(117 - 146)}^{2} \cdot 1$

Step 1.11

Raise $15$ to the power of $2$ .

$625 + 100 + 841 + 225 \cdot 1 + {(117 - 146)}^{2} \cdot 1$

Step 1.12

Multiply $225$ by $1$ .

$625 + 100 + 841 + 225 + {(117 - 146)}^{2} \cdot 1$

Step 1.13

Subtract $146$ from $117$ .

$625 + 100 + 841 + 225 + {(- 29)}^{2} \cdot 1$

Step 1.14

Raise $- 29$ to the power of $2$ .

$625 + 100 + 841 + 225 + 841 \cdot 1$

Step 1.15

Multiply $841$ by $1$ .

$625 + 100 + 841 + 225 + 841$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $625$ and $100$ .

$725 + 841 + 225 + 841$

Step 2.2

Add $725$ and $841$ .

$1566 + 225 + 841$

Step 2.3

Add $1566$ and $225$ .

$1791 + 841$

Step 2.4

Add $1791$ and $841$ .

$2632$