Simplify a(a-b)+2ab

$a (a - b) + 2 a b$

Step 1

Simplify each term.

Apply the distributive property.

$a \cdot a + a (- b) + 2 a b$

Multiply $a$ by $a$ .

$a^{2} + a (- b) + 2 a b$

Rewrite using the commutative property of multiplication.

$a^{2} - a b + 2 a b$

Step 2

Simplify by adding terms.

Add $- a b$ and $2 a b$ .

$a^{2} + 1 a b$

Multiply $a$ by $1$ .

$a^{2} + a b$