Basic Math Examples

$24 d e - 30 e + 36 d - 45$

Step 1

Factor $3$ out of $24 d e - 30 e + 36 d - 45$ .

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Step 1.1

Factor $3$ out of $24 d e$ .

$3 (8 d e) - 30 e + 36 d - 45$

Step 1.2

Factor $3$ out of $- 30 e$ .

$3 (8 d e) + 3 (- 10 e) + 36 d - 45$

Step 1.3

Factor $3$ out of $36 d$ .

$3 (8 d e) + 3 (- 10 e) + 3 (12 d) - 45$

Step 1.4

Factor $3$ out of $- 45$ .

$3 (8 d e) + 3 (- 10 e) + 3 (12 d) + 3 (- 15)$

Step 1.5

Factor $3$ out of $3 (8 d e) + 3 (- 10 e)$ .

$3 (8 d e - 10 e) + 3 (12 d) + 3 (- 15)$

Step 1.6

Factor $3$ out of $3 (8 d e - 10 e) + 3 (12 d)$ .

$3 (8 d e - 10 e + 12 d) + 3 (- 15)$

Step 1.7

Factor $3$ out of $3 (8 d e - 10 e + 12 d) + 3 (- 15)$ .

$3 (8 d e - 10 e + 12 d - 15)$

Step 2

Reorder terms.

$3 (12 d + 8 e d - 15 - 10 e)$

Step 3

Factor out the greatest common factor from each group.

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Step 3.1

Group the first two terms and the last two terms.

$3 ((12 d + 8 e d) - 15 - 10 e)$

Step 3.2

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

$3 (4 d (3 + 2 e) - 5 (3 + 2 e))$

Step 4

Factor.

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Step 4.1

Factor the polynomial by factoring out the greatest common factor, $3 + 2 e$ .

$3 ((3 + 2 e) (4 d - 5))$

Step 4.2

Remove unnecessary parentheses.

$3 (3 + 2 e) (4 d - 5)$