Finite Math Examples

$\frac{(4 x + 3) (5) - (5 x - 2) \cdot 4}{{(4 x + 3)}^{2}}$

Step 1

Apply the distributive property.

$\frac{4 x \cdot 5 + 3 \cdot 5 - (5 x - 2) \cdot 4}{{(4 x + 3)}^{2}}$

Step 2

Multiply $5$ by $4$ .

$\frac{20 x + 3 \cdot 5 - (5 x - 2) \cdot 4}{{(4 x + 3)}^{2}}$

Step 3

Multiply $3$ by $5$ .

$\frac{20 x + 15 - (5 x - 2) \cdot 4}{{(4 x + 3)}^{2}}$

Step 4

Apply the distributive property.

$\frac{20 x + 15 + (- (5 x) - - 2) \cdot 4}{{(4 x + 3)}^{2}}$

Step 5

Multiply $5$ by $- 1$ .

$\frac{20 x + 15 + (- 5 x - - 2) \cdot 4}{{(4 x + 3)}^{2}}$

Step 6

Multiply $- 1$ by $- 2$ .

$\frac{20 x + 15 + (- 5 x + 2) \cdot 4}{{(4 x + 3)}^{2}}$

Step 7

Apply the distributive property.

$\frac{20 x + 15 - 5 x \cdot 4 + 2 \cdot 4}{{(4 x + 3)}^{2}}$

Step 8

Multiply $4$ by $- 5$ .

$\frac{20 x + 15 - 20 x + 2 \cdot 4}{{(4 x + 3)}^{2}}$

Step 9

Multiply $2$ by $4$ .

$\frac{20 x + 15 - 20 x + 8}{{(4 x + 3)}^{2}}$

Step 10

Subtract $20 x$ from $20 x$ .

$\frac{0 + 15 + 8}{{(4 x + 3)}^{2}}$

Step 11

Add $0$ and $15$ .

$\frac{15 + 8}{{(4 x + 3)}^{2}}$

Step 12

Add $15$ and $8$ .

$\frac{23}{{(4 x + 3)}^{2}}$