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Simplify (a-11)(a+10)

$(a - 11) (a + 10)$

Step 1

Expand

$(a - 11) (a + 10)$ using the FOIL Method.

Apply the distributive property.

$a (a + 10) - 11 (a + 10)$

Apply the distributive property.

$a \cdot a + a \cdot 10 - 11 (a + 10)$

Apply the distributive property.

$a \cdot a + a \cdot 10 - 11 a - 11 \cdot 10$

$a \cdot a + a \cdot 10 - 11 a - 11 \cdot 10$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply

$a$ by

$a$ .

$a^{2} + a \cdot 10 - 11 a - 11 \cdot 10$

Move

$10$ to the left of

$a$ .

$a^{2} + 10 \cdot a - 11 a - 11 \cdot 10$

Multiply

$- 11$ by

$10$ .

$a^{2} + 10 a - 11 a - 110$

$a^{2} + 10 a - 11 a - 110$

Subtract

$11 a$ from

$10 a$ .

$a^{2} - a - 110$

$a^{2} - a - 110$

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