Calculus Examples

$x = 12 (y^{2} - y^{3})$

Step 1

Simplify $12 (y^{2} - y^{3})$ .

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Step 1.1

Apply the distributive property.

$x = 12 y^{2} + 12 (- y^{3})$

Step 1.2

Simplify the expression.

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Step 1.2.1

Multiply $- 1$ by $12$ .

$x = 12 y^{2} - 12 y^{3}$

Step 1.2.2

Reorder $12 y^{2}$ and $- 12 y^{3}$ .

$x = - 12 y^{3} + 12 y^{2}$

Step 2

To rewrite as a function of $y$ , write the equation so that $x$ is by itself on one side of the equal sign and an expression involving only $y$ is on the other side.

$f (y) = - 12 y^{3} + 12 y^{2}$