Algebra Examples

$\frac{y + 3}{t} = t^{2}$

Step 1

Multiply both sides by $t$ .

$\frac{y + 3}{t} t = t^{2} t$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $t$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{y + 3}{t} t = t^{2} t$

Step 2.1.1.2

Rewrite the expression.

$y + 3 = t^{2} t$

$y + 3 = t^{2} t$

$y + 3 = t^{2} t$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $t^{2}$ by $t$ by adding the exponents.

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Step 2.2.1.1

Multiply $t^{2}$ by $t$ .

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Step 2.2.1.1.1

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

$y + 3 = t^{2} t^{1}$

Step 2.2.1.1.2

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

$y + 3 = t^{2 + 1}$

$y + 3 = t^{2 + 1}$

Step 2.2.1.2

Add $2$ and $1$ .

$y + 3 = t^{3}$

$y + 3 = t^{3}$

$y + 3 = t^{3}$

$y + 3 = t^{3}$

Step 3

Subtract $3$ from both sides of the equation.

$y = t^{3} - 3$

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