Basic Math Examples

$3 a^{2} + 3 a b + 3 a c - (2 a b - 2 b^{2} - 2 b c)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 a^{2} + 3 a b + 3 a c - (2 a b) - (- 2 b^{2}) - (- 2 b c)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 1$ .

$3 a^{2} + 3 a b + 3 a c - 2 (a b) - (- 2 b^{2}) - (- 2 b c)$

Step 1.2.2

Multiply $- 2$ by $- 1$ .

$3 a^{2} + 3 a b + 3 a c - 2 (a b) + 2 b^{2} - (- 2 b c)$

Step 1.2.3

Multiply $- 2$ by $- 1$ .

$3 a^{2} + 3 a b + 3 a c - 2 (a b) + 2 b^{2} + 2 (b c)$

Step 1.3

Remove parentheses.

$3 a^{2} + 3 a b + 3 a c - 2 a b + 2 b^{2} + 2 b c$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2 a b$ from $3 a b$ .

$3 a^{2} + 1 a b + 3 a c + 2 b^{2} + 2 b c$

Step 2.2

Simplify the expression.

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Step 2.2.1

Multiply $a$ by $1$ .

$3 a^{2} + a b + 3 a c + 2 b^{2} + 2 b c$

Step 2.2.2

Move $2 b^{2}$ .

$3 a^{2} + a b + 3 a c + 2 b c + 2 b^{2}$

Step 2.2.3

Move $a b$ .

$3 a^{2} + 3 a c + 2 b c + a b + 2 b^{2}$

Step 2.2.4

Move $3 a^{2}$ .

$3 a c + 2 b c + 3 a^{2} + a b + 2 b^{2}$