Calculus Examples

${pA}^{0} \cdot 2 = (p b - h^{2} o - p a^{\frac{0 (a p^{2})}{r}})$

Step 1

Rewrite the equation as $p b - h^{2} o - p a^{\frac{0 (a p^{2})}{r}} = {pA}^{0} \cdot 2$ .

$p b - h^{2} o - p a^{\frac{0 (a p^{2})}{r}} = {pA}^{0} \cdot 2$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Simplify the numerator.

Tap for more steps...

Step 2.1.1

Multiply $0$ by $a$ .

$p b - h^{2} o - p a^{\frac{0 p^{2}}{r}} - ({pA}^{0} \cdot 2) = 0$

Step 2.1.2

Multiply $0$ by $p^{2}$ .

$p b - h^{2} o - p a^{\frac{0}{r}} - ({pA}^{0} \cdot 2) = 0$

Step 2.2

Divide $0$ by $r$ .

$p b - h^{2} o - p a^{0} - ({pA}^{0} \cdot 2) = 0$

Step 2.3

Anything raised to $0$ is $1$ .

$p b - h^{2} o - p \cdot 1 - ({pA}^{0} \cdot 2) = 0$

Step 2.4

Multiply $- 1$ by $1$ .

$p b - h^{2} o - p - ({pA}^{0} \cdot 2) = 0$

Step 3

Move all terms not containing $p$ to the right side of the equation.

Tap for more steps...

Step 3.1

Add $h^{2} o$ to both sides of the equation.

$p b - p - ({pA}^{0} \cdot 2) = h^{2} o$

Step 3.2

Add ${pA}^{0} \cdot 2$ to both sides of the equation.

$p b - p = h^{2} o + {pA}^{0} \cdot 2$

Step 4

Factor $p$ out of $p b - p$ .

Tap for more steps...

Step 4.1

Factor $p$ out of $p b$ .

$p (b) - p = h^{2} o + {pA}^{0} \cdot 2$

Step 4.2

Factor $p$ out of $- p$ .

$p (b) + p \cdot - 1 = h^{2} o + {pA}^{0} \cdot 2$

Step 4.3

Factor $p$ out of $p (b) + p \cdot - 1$ .

$p (b - 1) = h^{2} o + {pA}^{0} \cdot 2$

Step 5

Divide each term in $p (b - 1) = h^{2} o + {pA}^{0} \cdot 2$ by $b - 1$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $p (b - 1) = h^{2} o + {pA}^{0} \cdot 2$ by $b - 1$ .

$\frac{p (b - 1)}{b - 1} = \frac{h^{2} o}{b - 1} + \frac{{pA}^{0} \cdot 2}{b - 1}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $b - 1$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{p (b - 1)}{b - 1} = \frac{h^{2} o}{b - 1} + \frac{{pA}^{0} \cdot 2}{b - 1}$

Step 5.2.1.2

Divide $p$ by $1$ .

$p = \frac{h^{2} o}{b - 1} + \frac{{pA}^{0} \cdot 2}{b - 1}$

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Combine the numerators over the common denominator.

$p = \frac{h^{2} o + {pA}^{0} \cdot 2}{b - 1}$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Anything raised to $0$ is $1$ .

$p = \frac{h^{2} o + 1 \cdot 2}{b - 1}$

Step 6.2

Multiply $2$ by $1$ .

$p = \frac{h^{2} o + 2}{b - 1}$