Basic Math Examples

$11 (16 a b c - 80 a b - 2 b c - 56 a c + 10 b + 280 a + 7 c - 35)$

Step 1

Apply the distributive property.

$11 (16 a b c) + 11 (- 80 a b) + 11 (- 2 b c) + 11 (- 56 a c) + 11 (10 b) + 11 (280 a) + 11 (7 c) + 11 \cdot - 35$

Step 2

Simplify.

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Step 2.1

Multiply $16$ by $11$ .

$176 (a b c) + 11 (- 80 a b) + 11 (- 2 b c) + 11 (- 56 a c) + 11 (10 b) + 11 (280 a) + 11 (7 c) + 11 \cdot - 35$

Step 2.2

Multiply $- 80$ by $11$ .

$176 (a b c) - 880 (a b) + 11 (- 2 b c) + 11 (- 56 a c) + 11 (10 b) + 11 (280 a) + 11 (7 c) + 11 \cdot - 35$

Step 2.3

Multiply $- 2$ by $11$ .

$176 (a b c) - 880 (a b) - 22 (b c) + 11 (- 56 a c) + 11 (10 b) + 11 (280 a) + 11 (7 c) + 11 \cdot - 35$

Step 2.4

Multiply $- 56$ by $11$ .

$176 (a b c) - 880 (a b) - 22 (b c) - 616 (a c) + 11 (10 b) + 11 (280 a) + 11 (7 c) + 11 \cdot - 35$

Step 2.5

Multiply $10$ by $11$ .

$176 (a b c) - 880 (a b) - 22 (b c) - 616 (a c) + 110 b + 11 (280 a) + 11 (7 c) + 11 \cdot - 35$

Step 2.6

Multiply $280$ by $11$ .

$176 (a b c) - 880 (a b) - 22 (b c) - 616 (a c) + 110 b + 3080 a + 11 (7 c) + 11 \cdot - 35$

Step 2.7

Multiply $7$ by $11$ .

$176 (a b c) - 880 (a b) - 22 (b c) - 616 (a c) + 110 b + 3080 a + 77 c + 11 \cdot - 35$

Step 2.8

Multiply $11$ by $- 35$ .

$176 (a b c) - 880 (a b) - 22 (b c) - 616 (a c) + 110 b + 3080 a + 77 c - 385$

Step 3

Remove parentheses.

$176 a b c - 880 a b - 22 b c - 616 a c + 110 b + 3080 a + 77 c - 385$

Step 4

Reorder.

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Step 4.1

Move $110 b$ .

$176 a b c - 880 a b - 22 b c - 616 a c + 3080 a + 110 b + 77 c - 385$

Step 4.2

Move $- 22 b c$ .

$176 a b c - 880 a b - 616 a c - 22 b c + 3080 a + 110 b + 77 c - 385$