Trigonometry Examples

v ({(- 8 - (- 3))}^{2} + {(1 - (- 4))}^{2})

$v ({(- 8 - (- 3))}^{2} + {(1 - (- 4))}^{2})$

Step 1

Simplify each term.

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Step 1.1

Multiply

- 1

$- 1$ by

- 3

$- 3$ .

v ({(- 8 + 3)}^{2} + {(1 - (- 4))}^{2})

$v ({(- 8 + 3)}^{2} + {(1 - (- 4))}^{2})$

Step 1.2

Add

- 8

$- 8$ and

3

$3$ .

v ({(- 5)}^{2} + {(1 - (- 4))}^{2})

$v ({(- 5)}^{2} + {(1 - (- 4))}^{2})$

Step 1.3

Raise

- 5

$- 5$ to the power of

2

$2$ .

v (25 + {(1 - (- 4))}^{2})

$v (25 + {(1 - (- 4))}^{2})$

Step 1.4

Multiply

- 1

$- 1$ by

- 4

$- 4$ .

v (25 + {(1 + 4)}^{2})

$v (25 + {(1 + 4)}^{2})$

Step 1.5

Add

1

$1$ and

4

$4$ .

v (25 + 5^{2})

$v (25 + 5^{2})$

Step 1.6

Raise

5

$5$ to the power of

2

$2$ .

v (25 + 25)

$v (25 + 25)$

v (25 + 25)

$v (25 + 25)$

Step 2

Simplify the expression.

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Step 2.1

Add

25

$25$ and

25

$25$ .

v \cdot 50

$v \cdot 50$

Step 2.2

Move

50

$50$ to the left of

v

$v$ .

50 v

$50 v$

50 v

$50 v$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$