Basic Math Examples

$m a = f a p \cdot p - mg$

Step 1

Simplify.

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Step 1.1

Raise $p$ to the power of $1$ .

$m a = f a (p^{1} p) - mg$

Step 1.2

Raise $p$ to the power of $1$ .

$m a = f a (p^{1} p^{1}) - mg$

Step 1.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$m a = f a p^{1 + 1} - mg$

Step 1.4

Add $1$ and $1$ .

$m a = f a p^{2} - mg$

Step 2

Divide each term in $m a = f a p^{2} - mg$ by $a$ and simplify.

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Step 2.1

Divide each term in $m a = f a p^{2} - mg$ by $a$ .

$\frac{m a}{a} = \frac{f a p^{2}}{a} + \frac{- mg}{a}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $a$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{m a}{a} = \frac{f a p^{2}}{a} + \frac{- mg}{a}$

Step 2.2.1.2

Divide $m$ by $1$ .

$m = \frac{f a p^{2}}{a} + \frac{- mg}{a}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $a$ .

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Step 2.3.1.1

Cancel the common factor.

$m = \frac{f a p^{2}}{a} + \frac{- mg}{a}$

Step 2.3.1.2

Divide $f p^{2}$ by $1$ .

$m = f p^{2} + \frac{- mg}{a}$

Step 3

Simplify each term.

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Step 3.1

Move the negative in front of the fraction.

$m = f p^{2} - \frac{mg}{a}$

Step 3.2

Rewrite the expression.

$m = f p^{2} - \frac{1}{a} mg$