Finite Math Examples

$7 u^{5} - 4 u^{2} + 5 u - 6$ , $- (4 u^{5} + 7 u^{2} - 6 u + 2)$

Step 1

Subtract the second expression $- (4 u^{5} + 7 u^{2} - 6 u + 2)$ from the first expression $7 u^{5} - 4 u^{2} + 5 u - 6$ .

$7 u^{5} - 4 u^{2} + 5 u - 6 - (- (4 u^{5} + 7 u^{2} - 6 u + 2))$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

$7 u^{5} - 4 u^{2} + 5 u - 6 - (- (4 u^{5}) - (7 u^{2}) - (- 6 u) - 1 \cdot 2)$

Step 2.2

Simplify.

Tap for more steps...

Step 2.2.1

Multiply $4$ by $- 1$ .

$7 u^{5} - 4 u^{2} + 5 u - 6 - (- 4 u^{5} - (7 u^{2}) - (- 6 u) - 1 \cdot 2)$

Step 2.2.2

Multiply $7$ by $- 1$ .

$7 u^{5} - 4 u^{2} + 5 u - 6 - (- 4 u^{5} - 7 u^{2} - (- 6 u) - 1 \cdot 2)$

Step 2.2.3

Multiply $- 6$ by $- 1$ .

$7 u^{5} - 4 u^{2} + 5 u - 6 - (- 4 u^{5} - 7 u^{2} + 6 u - 1 \cdot 2)$

Step 2.2.4

Multiply $- 1$ by $2$ .

$7 u^{5} - 4 u^{2} + 5 u - 6 - (- 4 u^{5} - 7 u^{2} + 6 u - 2)$

Step 2.3

Apply the distributive property.

$7 u^{5} - 4 u^{2} + 5 u - 6 - (- 4 u^{5}) - (- 7 u^{2}) - (6 u) - - 2$

Step 2.4

Simplify.

Tap for more steps...

Step 2.4.1

Multiply $- 4$ by $- 1$ .

$7 u^{5} - 4 u^{2} + 5 u - 6 + 4 u^{5} - (- 7 u^{2}) - (6 u) - - 2$

Step 2.4.2

Multiply $- 7$ by $- 1$ .

$7 u^{5} - 4 u^{2} + 5 u - 6 + 4 u^{5} + 7 u^{2} - (6 u) - - 2$

Step 2.4.3

Multiply $6$ by $- 1$ .

$7 u^{5} - 4 u^{2} + 5 u - 6 + 4 u^{5} + 7 u^{2} - 6 u - - 2$

Step 2.4.4

Multiply $- 1$ by $- 2$ .

$7 u^{5} - 4 u^{2} + 5 u - 6 + 4 u^{5} + 7 u^{2} - 6 u + 2$

Step 3

Simplify by adding terms.

Tap for more steps...

Step 3.1

Add $7 u^{5}$ and $4 u^{5}$ .

$11 u^{5} - 4 u^{2} + 5 u - 6 + 7 u^{2} - 6 u + 2$

Step 3.2

Add $- 4 u^{2}$ and $7 u^{2}$ .

$11 u^{5} + 3 u^{2} + 5 u - 6 - 6 u + 2$

Step 3.3

Subtract $6 u$ from $5 u$ .

$11 u^{5} + 3 u^{2} - u - 6 + 2$

Step 3.4

Add $- 6$ and $2$ .

$11 u^{5} + 3 u^{2} - u - 4$