Basic Math Examples

$2 a s = v f^{2} - v i^{2}$

Step 1

Divide each term in $2 a s = v f^{2} - v i^{2}$ by $2 s$ .

$\frac{2 a s}{2 s} = \frac{v f^{2}}{2 s} + \frac{- v i^{2}}{2 s}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Cancel the common factor.

$\frac{2 a s}{2 s} = \frac{v f^{2}}{2 s} + \frac{- v i^{2}}{2 s}$

Step 2.1.2

Rewrite the expression.

$\frac{a s}{s} = \frac{v f^{2}}{2 s} + \frac{- v i^{2}}{2 s}$

Step 2.2

Cancel the common factor of $s$ .

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Step 2.2.1

Cancel the common factor.

$\frac{a s}{s} = \frac{v f^{2}}{2 s} + \frac{- v i^{2}}{2 s}$

Step 2.2.2

Divide $a$ by $1$ .

$a = \frac{v f^{2}}{2 s} + \frac{- v i^{2}}{2 s}$

Step 3

Simplify the right side.

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Step 3.1

Simplify the numerator.

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Step 3.1.1

Rewrite $i^{2}$ as $- 1$ .

$a = \frac{v f^{2}}{2 s} + \frac{- v \cdot - 1}{2 s}$

Step 3.1.2

Combine exponents.

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Step 3.1.2.1

Multiply $- 1$ by $- 1$ .

$a = \frac{v f^{2}}{2 s} + \frac{1 v}{2 s}$

Step 3.1.2.2

Multiply $v$ by $1$ .

$a = \frac{v f^{2}}{2 s} + \frac{v}{2 s}$