Basic Math Examples

$a (a - b + 1) + \frac{4 a}{2} - 6 b + 2$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$a \cdot a + a (- b) + a \cdot 1 + \frac{4 a}{2} - 6 b + 2$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $a$ by $a$ .

$a^{2} + a (- b) + a \cdot 1 + \frac{4 a}{2} - 6 b + 2$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$a^{2} - a b + a \cdot 1 + \frac{4 a}{2} - 6 b + 2$

Step 1.2.3

Multiply $a$ by $1$ .

$a^{2} - a b + a + \frac{4 a}{2} - 6 b + 2$

Step 1.3

Cancel the common factor of $4$ and $2$ .

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Step 1.3.1

Factor $2$ out of $4 a$ .

$a^{2} - a b + a + \frac{2 (2 a)}{2} - 6 b + 2$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $2$ out of $2$ .

$a^{2} - a b + a + \frac{2 (2 a)}{2 (1)} - 6 b + 2$

Step 1.3.2.2

Cancel the common factor.

$a^{2} - a b + a + \frac{2 (2 a)}{2 \cdot 1} - 6 b + 2$

Step 1.3.2.3

Rewrite the expression.

$a^{2} - a b + a + \frac{2 a}{1} - 6 b + 2$

Step 1.3.2.4

Divide $2 a$ by $1$ .

$a^{2} - a b + a + 2 a - 6 b + 2$

Step 2

Simplify by adding terms.

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Step 2.1

Add $a$ and $2 a$ .

$a^{2} - a b + 3 a - 6 b + 2$

Step 2.2

Simplify the expression.

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Step 2.2.1

Move $3 a$ .

$a^{2} - a b - 6 b + 3 a + 2$

Step 2.2.2

Reorder $a^{2}$ and $- a b$ .

$- a b + a^{2} - 6 b + 3 a + 2$