Algebra Examples

$(a + 1) b = a + 1$

Step 1

Divide each term in $(a + 1) b = a + 1$ by $a + 1$ .

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

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $a + 1$ .

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Step 2.1.1

Cancel the common factor.

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

Step 2.1.2

Divide $b$ by $1$ .

$b = \frac{a}{a + 1} + \frac{1}{a + 1}$

Step 3

Simplify the right side.

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Step 3.1

Combine the numerators over the common denominator.

$b = \frac{a + 1}{a + 1}$

Step 3.2

Cancel the common factor of $a + 1$ .

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Step 3.2.1

Cancel the common factor.

$b = \frac{a + 1}{a + 1}$

Step 3.2.2

Rewrite the expression.

$b = 1$