Algebra Examples

$A = \frac{1}{2} h (a + b)$

Rewrite the equation as $\frac{1}{2} \cdot (h (a + b)) = A$ .

$\frac{1}{2} \cdot (h (a + b)) = A$

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} \cdot (h (a + b))) = 2 A$

Simplify the left side.

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Simplify $2 (\frac{1}{2} \cdot (h (a + b)))$ .

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Apply the distributive property.

$2 (\frac{1}{2} \cdot (h a + h b)) = 2 A$

Apply the distributive property.

$2 (\frac{1}{2} (h a) + \frac{1}{2} (h b)) = 2 A$

Multiply $\frac{1}{2} (h a)$ .

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Combine $h$ and $\frac{1}{2}$ .

$2 (\frac{h}{2} a + \frac{1}{2} (h b)) = 2 A$

Combine $\frac{h}{2}$ and $a$ .

$2 (\frac{h a}{2} + \frac{1}{2} (h b)) = 2 A$

$2 (\frac{h a}{2} + \frac{1}{2} (h b)) = 2 A$

Multiply $\frac{1}{2} (h b)$ .

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Combine $h$ and $\frac{1}{2}$ .

$2 (\frac{h a}{2} + \frac{h}{2} b) = 2 A$

Combine $\frac{h}{2}$ and $b$ .

$2 (\frac{h a}{2} + \frac{h b}{2}) = 2 A$

$2 (\frac{h a}{2} + \frac{h b}{2}) = 2 A$

Apply the distributive property.

$2 \frac{h a}{2} + 2 \frac{h b}{2} = 2 A$

Cancel the common factor of $2$ .

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Cancel the common factor.

$2 \frac{h a}{2} + 2 \frac{h b}{2} = 2 A$

Rewrite the expression.

$h a + 2 \frac{h b}{2} = 2 A$

$h a + 2 \frac{h b}{2} = 2 A$

Cancel the common factor of $2$ .

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Cancel the common factor.

$h a + 2 \frac{h b}{2} = 2 A$

Rewrite the expression.

$h a + h b = 2 A$

$h a + h b = 2 A$

$h a + h b = 2 A$

$h a + h b = 2 A$

Subtract $h a$ from both sides of the equation.

$h b = 2 A - h a$

Divide each term in $h b = 2 A - h a$ by $h$ and simplify.

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Divide each term in $h b = 2 A - h a$ by $h$ .

$\frac{h b}{h} = \frac{2 A}{h} + \frac{- h a}{h}$

Simplify the left side.

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Cancel the common factor of $h$ .

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Cancel the common factor.

$\frac{h b}{h} = \frac{2 A}{h} + \frac{- h a}{h}$

Divide $b$ by $1$ .

$b = \frac{2 A}{h} + \frac{- h a}{h}$

$b = \frac{2 A}{h} + \frac{- h a}{h}$

$b = \frac{2 A}{h} + \frac{- h a}{h}$

Simplify the right side.

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Simplify each term.

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Cancel the common factor of $h$ .

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Cancel the common factor.

$b = \frac{2 A}{h} + \frac{- h a}{h}$

Divide $- 1 a$ by $1$ .

$b = \frac{2 A}{h} - 1 a$

$b = \frac{2 A}{h} - 1 a$

Rewrite $- 1 a$ as $- a$ .

$b = \frac{2 A}{h} - a$

$b = \frac{2 A}{h} - a$

$b = \frac{2 A}{h} - a$

$b = \frac{2 A}{h} - a$

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