Calculus Examples

$81 x - 128 x (x^{2} + y^{2})$

Step 1

Factor $x$ out of $81 x - 128 x (x^{2} + y^{2})$ .

Tap for more steps...

Step 1.1

Factor $x$ out of $81 x$ .

$x \cdot 81 - 128 x (x^{2} + y^{2})$

Step 1.2

Factor $x$ out of $- 128 x (x^{2} + y^{2})$ .

$x \cdot 81 + x (- 128 (x^{2} + y^{2}))$

Step 1.3

Factor $x$ out of $x \cdot 81 + x (- 128 (x^{2} + y^{2}))$ .

$x (81 - 128 (x^{2} + y^{2}))$

Step 2

Apply the distributive property.

$x (81 - 128 x^{2} - 128 y^{2})$

Step 3

Factor.

Tap for more steps...

Step 3.1

Factor $- 1$ out of $81 - 128 x^{2} - 128 y^{2}$ .

Tap for more steps...

Step 3.1.1

Move $81$ .

$x (- 128 x^{2} - 128 y^{2} + 81)$

Step 3.1.2

Factor $- 1$ out of $- 128 x^{2}$ .

$x (- (128 x^{2}) - 128 y^{2} + 81)$

Step 3.1.3

Factor $- 1$ out of $- 128 y^{2}$ .

$x (- (128 x^{2}) - (128 y^{2}) + 81)$

Step 3.1.4

Rewrite $81$ as $- 1 (- 81)$ .

$x (- (128 x^{2}) - (128 y^{2}) - 1 (- 81))$

Step 3.1.5

Factor $- 1$ out of $- (128 x^{2}) - (128 y^{2})$ .

$x (- (128 x^{2} + 128 y^{2}) - 1 (- 81))$

Step 3.1.6

Factor $- 1$ out of $- (128 x^{2} + 128 y^{2}) - 1 (- 81)$ .

$x (- (128 x^{2} + 128 y^{2} - 81))$

Step 3.2

Remove unnecessary parentheses.

$x \cdot - 1 (128 x^{2} + 128 y^{2} - 81)$

Step 4

Factor out negative.

$- (x (128 x^{2} + 128 y^{2} - 81))$

Step 5

Remove unnecessary parentheses.

$- x (128 x^{2} + 128 y^{2} - 81)$