Algebra Examples

$\frac{21 a + 18}{3} + \frac{28 a - 20}{4}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $21 a + 18$ and $3$ .

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Step 1.1.1

Factor $3$ out of $21 a$ .

$\frac{3 (7 a) + 18}{3} + \frac{28 a - 20}{4}$

Step 1.1.2

Factor $3$ out of $18$ .

$\frac{3 (7 a) + 3 \cdot 6}{3} + \frac{28 a - 20}{4}$

Step 1.1.3

Factor $3$ out of $3 (7 a) + 3 (6)$ .

$\frac{3 (7 a + 6)}{3} + \frac{28 a - 20}{4}$

Step 1.1.4

Cancel the common factors.

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Step 1.1.4.1

Factor $3$ out of $3$ .

$\frac{3 (7 a + 6)}{3 (1)} + \frac{28 a - 20}{4}$

Step 1.1.4.2

Cancel the common factor.

$\frac{3 (7 a + 6)}{3 \cdot 1} + \frac{28 a - 20}{4}$

Step 1.1.4.3

Rewrite the expression.

$\frac{7 a + 6}{1} + \frac{28 a - 20}{4}$

Step 1.1.4.4

Divide $7 a + 6$ by $1$ .

$7 a + 6 + \frac{28 a - 20}{4}$

$7 a + 6 + \frac{28 a - 20}{4}$

$7 a + 6 + \frac{28 a - 20}{4}$

Step 1.2

Cancel the common factor of $28 a - 20$ and $4$ .

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Step 1.2.1

Factor $4$ out of $28 a$ .

$7 a + 6 + \frac{4 (7 a) - 20}{4}$

Step 1.2.2

Factor $4$ out of $- 20$ .

$7 a + 6 + \frac{4 (7 a) + 4 \cdot - 5}{4}$

Step 1.2.3

Factor $4$ out of $4 (7 a) + 4 (- 5)$ .

$7 a + 6 + \frac{4 (7 a - 5)}{4}$

Step 1.2.4

Cancel the common factors.

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Step 1.2.4.1

Factor $4$ out of $4$ .

$7 a + 6 + \frac{4 (7 a - 5)}{4 (1)}$

Step 1.2.4.2

Cancel the common factor.

$7 a + 6 + \frac{4 (7 a - 5)}{4 \cdot 1}$

Step 1.2.4.3

Rewrite the expression.

$7 a + 6 + \frac{7 a - 5}{1}$

Step 1.2.4.4

Divide $7 a - 5$ by $1$ .

$7 a + 6 + 7 a - 5$

$7 a + 6 + 7 a - 5$

$7 a + 6 + 7 a - 5$

$7 a + 6 + 7 a - 5$

Step 2

Simplify by adding terms.

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Step 2.1

Add $7 a$ and $7 a$ .

$14 a + 6 - 5$

Step 2.2

Subtract $5$ from $6$ .

$14 a + 1$

$14 a + 1$

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