Basic Math Examples

$- (a - 11) (a + 3)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$(- a - - 11) (a + 3)$

Step 1.2

Multiply $- 1$ by $- 11$ .

$(- a + 11) (a + 3)$

$(- a + 11) (a + 3)$

Step 2

Expand $(- a + 11) (a + 3)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

$- a (a + 3) + 11 (a + 3)$

Step 2.2

Apply the distributive property.

$- a \cdot a - a \cdot 3 + 11 (a + 3)$

Step 2.3

Apply the distributive property.

$- a \cdot a - a \cdot 3 + 11 a + 11 \cdot 3$

$- a \cdot a - a \cdot 3 + 11 a + 11 \cdot 3$

Step 3

Simplify and combine like terms.

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply $a$ by $a$ by adding the exponents.

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Step 3.1.1.1

Move $a$ .

$- (a \cdot a) - a \cdot 3 + 11 a + 11 \cdot 3$

Step 3.1.1.2

Multiply $a$ by $a$ .

$- a^{2} - a \cdot 3 + 11 a + 11 \cdot 3$

$- a^{2} - a \cdot 3 + 11 a + 11 \cdot 3$

Step 3.1.2

Multiply $3$ by $- 1$ .

$- a^{2} - 3 a + 11 a + 11 \cdot 3$

Step 3.1.3

Multiply $11$ by $3$ .

$- a^{2} - 3 a + 11 a + 33$

$- a^{2} - 3 a + 11 a + 33$

Step 3.2

Add $- 3 a$ and $11 a$ .

$- a^{2} + 8 a + 33$

$- a^{2} + 8 a + 33$

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