Algebra Examples

$(8 x + 4 x^{6} + 4 x^{5}) - (9 x^{5} + 7 x^{6} + 15 x)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$8 x + 4 x^{6} + 4 x^{5} - (9 x^{5}) - (7 x^{6}) - (15 x)$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $9$ by $- 1$ .

$8 x + 4 x^{6} + 4 x^{5} - 9 x^{5} - (7 x^{6}) - (15 x)$

Step 1.2.2

Multiply $7$ by $- 1$ .

$8 x + 4 x^{6} + 4 x^{5} - 9 x^{5} - 7 x^{6} - (15 x)$

Step 1.2.3

Multiply $15$ by $- 1$ .

$8 x + 4 x^{6} + 4 x^{5} - 9 x^{5} - 7 x^{6} - 15 x$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $15 x$ from $8 x$ .

$4 x^{6} + 4 x^{5} - 9 x^{5} - 7 x^{6} - 7 x$

Step 2.2

Subtract $7 x^{6}$ from $4 x^{6}$ .

$- 3 x^{6} + 4 x^{5} - 9 x^{5} - 7 x$

Step 2.3

Subtract $9 x^{5}$ from $4 x^{5}$ .

$- 3 x^{6} - 5 x^{5} - 7 x$