Basic Math Examples

$11 (- 4 A + 3 B - 3 C) - 8 (A - 5 B + 2 C)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$11 (- 4 A) + 11 (3 B) + 11 (- 3 C) - 8 (A - 5 B + 2 C)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 4$ by $11$ .

$- 44 A + 11 (3 B) + 11 (- 3 C) - 8 (A - 5 B + 2 C)$

Step 1.2.2

Multiply $3$ by $11$ .

$- 44 A + 33 B + 11 (- 3 C) - 8 (A - 5 B + 2 C)$

Step 1.2.3

Multiply $- 3$ by $11$ .

$- 44 A + 33 B - 33 C - 8 (A - 5 B + 2 C)$

Step 1.3

Apply the distributive property.

$- 44 A + 33 B - 33 C - 8 A - 8 (- 5 B) - 8 (2 C)$

Step 1.4

Simplify.

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Step 1.4.1

Multiply $- 5$ by $- 8$ .

$- 44 A + 33 B - 33 C - 8 A + 40 B - 8 (2 C)$

Step 1.4.2

Multiply $2$ by $- 8$ .

$- 44 A + 33 B - 33 C - 8 A + 40 B - 16 C$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $8 A$ from $- 44 A$ .

$- 52 A + 33 B - 33 C + 40 B - 16 C$

Step 2.2

Add $33 B$ and $40 B$ .

$- 52 A + 73 B - 33 C - 16 C$

Step 2.3

Subtract $16 C$ from $- 33 C$ .

$- 52 A + 73 B - 49 C$