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Simplify -(a-11)(a+3)

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

Step 1

Simplify by multiplying through.

Apply the distributive property.

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

Multiply

$- 1$ by

$- 11$ .

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

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

Step 2

Expand

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

Apply the distributive property.

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

Apply the distributive property.

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

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.

Simplify each term.

Multiply

$a$ by

$a$ by adding the exponents.

Move

$a$ .

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

Multiply

$a$ by

$a$ .

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

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

Multiply

$3$ by

$- 1$ .

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

Multiply

$11$ by

$3$ .

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

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

Add

$- 3 a$ and

$11 a$ .

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

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

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