Simplify (a+1)(a+1)

$(a + 1) (a + 1)$

Step 1

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

Apply the distributive property.

$a (a + 1) + 1 (a + 1)$

Apply the distributive property.

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

Apply the distributive property.

$a \cdot a + a \cdot 1 + 1 a + 1 \cdot 1$

$a \cdot a + a \cdot 1 + 1 a + 1 \cdot 1$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $a$ by $a$ .

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

Multiply $a$ by $1$ .

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

Multiply $a$ by $1$ .

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

Multiply $1$ by $1$ .

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

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

Add $a$ and $a$ .

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

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

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