Basic Math Examples

$(h - 2) (3 h + 5) - (h - 2) (5 h - 4)$

Step 1

Factor $h - 2$ out of $(h - 2) (3 h + 5) - (h - 2) (5 h - 4)$ .

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Step 1.1

Factor $h - 2$ out of $- (h - 2) (5 h - 4)$ .

$(h - 2) (3 h + 5) + (h - 2) (- 1 (5 h - 4))$

Step 1.2

Factor $h - 2$ out of $(h - 2) (3 h + 5) + (h - 2) (- 1 (5 h - 4))$ .

$(h - 2) (3 h + 5 - 1 (5 h - 4))$

Step 2

Apply the distributive property.

$(h - 2) (3 h + 5 - 1 (5 h) - 1 \cdot - 4)$

Step 3

Multiply $5$ by $- 1$ .

$(h - 2) (3 h + 5 - 5 h - 1 \cdot - 4)$

Step 4

Multiply $- 1$ by $- 4$ .

$(h - 2) (3 h + 5 - 5 h + 4)$

Step 5

Subtract $5 h$ from $3 h$ .

$(h - 2) (- 2 h + 5 + 4)$

Step 6

Add $5$ and $4$ .

$(h - 2) (- 2 h + 9)$

Step 7

Factor.

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Step 7.1

Factor $- 1$ out of $- 2 h + 9$ .

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Step 7.1.1

Factor $- 1$ out of $- 2 h$ .

$(h - 2) (- (2 h) + 9)$

Step 7.1.2

Rewrite $9$ as $- 1 (- 9)$ .

$(h - 2) (- (2 h) - 1 (- 9))$

Step 7.1.3

Factor $- 1$ out of $- (2 h) - 1 (- 9)$ .

$(h - 2) (- (2 h - 9))$

Step 7.2

Remove unnecessary parentheses.

$(h - 2) \cdot - 1 (2 h - 9)$

Step 8

Factor out negative.

$- ((h - 2) (2 h - 9))$

Step 9

Remove unnecessary parentheses.

$- (h - 2) (2 h - 9)$