Basic Math Examples

$(a + 1) (a - 1) - 2015$

Step 1

Simplify each term.

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Step 1.1

Expand $(a + 1) (a - 1)$ using the FOIL Method.

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Step 1.1.1

Apply the distributive property.

$a (a - 1) + 1 (a - 1) - 2015$

Step 1.1.2

Apply the distributive property.

$a \cdot a + a \cdot - 1 + 1 (a - 1) - 2015$

Step 1.1.3

Apply the distributive property.

$a \cdot a + a \cdot - 1 + 1 a + 1 \cdot - 1 - 2015$

$a \cdot a + a \cdot - 1 + 1 a + 1 \cdot - 1 - 2015$

Step 1.2

Simplify and combine like terms.

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Step 1.2.1

Simplify each term.

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Step 1.2.1.1

Multiply $a$ by $a$ .

$a^{2} + a \cdot - 1 + 1 a + 1 \cdot - 1 - 2015$

Step 1.2.1.2

Move $- 1$ to the left of $a$ .

$a^{2} - 1 \cdot a + 1 a + 1 \cdot - 1 - 2015$

Step 1.2.1.3

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

$a^{2} - a + 1 a + 1 \cdot - 1 - 2015$

Step 1.2.1.4

Multiply $a$ by $1$ .

$a^{2} - a + a + 1 \cdot - 1 - 2015$

Step 1.2.1.5

Multiply $- 1$ by $1$ .

$a^{2} - a + a - 1 - 2015$

$a^{2} - a + a - 1 - 2015$

Step 1.2.2

Add $- a$ and $a$ .

$a^{2} + 0 - 1 - 2015$

Step 1.2.3

Add $a^{2}$ and $0$ .

$a^{2} - 1 - 2015$

$a^{2} - 1 - 2015$

$a^{2} - 1 - 2015$

Step 2

Subtract $2015$ from $- 1$ .

$a^{2} - 2016$

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