Finite Math Examples

$(3 b + 5) (3 b - 5) - {(3 b + 5)}^{2}$

Step 1

Factor $3 b + 5$ out of $(3 b + 5) (3 b - 5) - {(3 b + 5)}^{2}$ .

Tap for more steps...

Step 1.1

Factor $3 b + 5$ out of $- {(3 b + 5)}^{2}$ .

$(3 b + 5) (3 b - 5) + (3 b + 5) (- (3 b + 5))$

Step 1.2

Factor $3 b + 5$ out of $(3 b + 5) (3 b - 5) + (3 b + 5) (- (3 b + 5))$ .

$(3 b + 5) (3 b - 5 - (3 b + 5))$

Step 2

Apply the distributive property.

$(3 b + 5) (3 b - 5 - (3 b) - 1 \cdot 5)$

Step 3

Multiply $3$ by $- 1$ .

$(3 b + 5) (3 b - 5 - 3 b - 1 \cdot 5)$

Step 4

Multiply $- 1$ by $5$ .

$(3 b + 5) (3 b - 5 - 3 b - 5)$

Step 5

Subtract $3 b$ from $3 b$ .

$(3 b + 5) (0 - 5 - 5)$

Step 6

Subtract $5$ from $0$ .

$(3 b + 5) (- 5 - 5)$

Step 7

Subtract $5$ from $- 5$ .

$(3 b + 5) \cdot - 10$