Basic Math Examples

$p (3 y - 2) = {(3 y - 2)}^{2} + 8$

Step 1

Divide each term in $p (3 y - 2) = {(3 y - 2)}^{2} + 8$ by $3 y - 2$ .

$\frac{p (3 y - 2)}{3 y - 2} = \frac{{(3 y - 2)}^{2}}{3 y - 2} + \frac{8}{3 y - 2}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $3 y - 2$ .

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Step 2.1.1

Cancel the common factor.

$\frac{p (3 y - 2)}{3 y - 2} = \frac{{(3 y - 2)}^{2}}{3 y - 2} + \frac{8}{3 y - 2}$

Step 2.1.2

Divide $p$ by $1$ .

$p = \frac{{(3 y - 2)}^{2}}{3 y - 2} + \frac{8}{3 y - 2}$

Step 3

Simplify the right side.

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Step 3.1

Combine the numerators over the common denominator.

$p = \frac{{(3 y - 2)}^{2} + 8}{3 y - 2}$