Algebra Examples

F = \frac{G Mm}{r^{2}}

$F = \frac{G Mm}{r^{2}}$

Step 1

Rewrite the equation as

$\frac{G Mm}{r^{2}} = F$ .

$\frac{G Mm}{r^{2}} = F$

Step 2

Multiply both sides by

$r^{2}$ .

$\frac{G Mm}{r^{2}} r^{2} = F r^{2}$

Step 3

Simplify the left side.

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Step 3.1

Cancel the common factor of

$r^{2}$ .

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Step 3.1.1

Cancel the common factor.

$\frac{G Mm}{r^{2}} r^{2} = F r^{2}$

Step 3.1.2

Rewrite the expression.

$G Mm = F r^{2}$

$G Mm = F r^{2}$

$G Mm = F r^{2}$

Step 4

Divide each term in

$G Mm = F r^{2}$ by

$Mm$ and simplify.

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Step 4.1

Divide each term in

$G Mm = F r^{2}$ by

$Mm$ .

$\frac{G Mm}{Mm} = \frac{F r^{2}}{Mm}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of

$Mm$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{G Mm}{Mm} = \frac{F r^{2}}{Mm}$

Step 4.2.1.2

Divide

$G$ by

$1$ .

$G = \frac{F r^{2}}{Mm}$

$G = \frac{F r^{2}}{Mm}$

$G = \frac{F r^{2}}{Mm}$

$G = \frac{F r^{2}}{Mm}$

Step 5

Rewrite the expression.

$G = F r^{2} \frac{1}{Mm}$

$F = \frac{G M m}{r^{2}}$

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