Algebra Examples

y = a x^{2}

$y = a x^{2}$

Step 1

Rewrite the equation as

a x^{2} = y

$a x^{2} = y$ .

a x^{2} = y

$a x^{2} = y$

Step 2

Divide each term in

a x^{2} = y

$a x^{2} = y$ by

x^{2}

$x^{2}$ and simplify.

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Step 2.1

Divide each term in

a x^{2} = y

$a x^{2} = y$ by

x^{2}

$x^{2}$ .

\frac{a x^{2}}{x^{2}} = \frac{y}{x^{2}}

$\frac{a x^{2}}{x^{2}} = \frac{y}{x^{2}}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

x^{2}

$x^{2}$ .

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Step 2.2.1.1

Cancel the common factor.

\frac{a x^{2}}{x^{2}} = \frac{y}{x^{2}}

$\frac{a x^{2}}{x^{2}} = \frac{y}{x^{2}}$

Step 2.2.1.2

Divide

a

$a$ by

1

$1$ .

a = \frac{y}{x^{2}}

$a = \frac{y}{x^{2}}$

a = \frac{y}{x^{2}}

$a = \frac{y}{x^{2}}$

a = \frac{y}{x^{2}}

$a = \frac{y}{x^{2}}$

a = \frac{y}{x^{2}}

$a = \frac{y}{x^{2}}$

y = a x^{2}

$y = a x^{2}$

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

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