Algebra Examples

$b c (m + 10) - 5 (10 + m)$

Step 1

Apply the distributive property.

$b c m + b c \cdot 10 - 5 (10 + m)$

Step 2

Move $10$ to the left of $b c$ .

$b c m + 10 (b c) - 5 (10 + m)$

Step 3

Remove parentheses.

$b c m + 10 b c - 5 (10 + m)$

Step 4

Apply the distributive property.

$b c m + 10 b c - 5 \cdot 10 - 5 m$

Step 5

Multiply $- 5$ by $10$ .

$b c m + 10 b c - 50 - 5 m$

Step 6

Rewrite $b c m + 10 b c - 50 - 5 m$ in a factored form.

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Step 6.1

Reorder terms.

$b c m + 10 b c - 5 m - 50$

Step 6.2

Factor out the greatest common factor from each group.

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Step 6.2.1

Group the first two terms and the last two terms.

$(b c m + 10 b c) - 5 m - 50$

Step 6.2.2

Factor out the greatest common factor (GCF) from each group.

$b c (m + 10) - 5 (m + 10)$

Step 6.3

Factor the polynomial by factoring out the greatest common factor, $m + 10$ .

$(m + 10) (b c - 5)$