Simplify 3(a+b)-2(a-b)

$3 (a + b) - 2 (a - b)$

Step 1

Simplify each term.

Apply the distributive property.

$3 a + 3 b - 2 (a - b)$

Apply the distributive property.

$3 a + 3 b - 2 a - 2 (- b)$

Multiply $- 1$ by $- 2$ .

$3 a + 3 b - 2 a + 2 b$

$3 a + 3 b - 2 a + 2 b$

Step 2

Simplify by adding terms.

Subtract $2 a$ from $3 a$ .

$a + 3 b + 2 b$

Add $3 b$ and $2 b$ .

$a + 5 b$

$a + 5 b$

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