Algebra Examples

$6 x (x - 4) - 16 x^{2} - (9 x - 1)$

Step 1

Factor $- 1$ out of $6 x (x - 4) - 16 x^{2} - (9 x - 1)$ .

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Step 1.1

Factor $- 1$ out of $6 x (x - 4)$ .

$- (- 6 x (x - 4)) - 16 x^{2} - (9 x - 1)$

Step 1.2

Factor $- 1$ out of $- 16 x^{2}$ .

$- (- 6 x (x - 4)) - (16 x^{2}) - (9 x - 1)$

Step 1.3

Factor $- 1$ out of $- (- 6 x (x - 4)) - (16 x^{2})$ .

$- (- 6 x (x - 4) + 16 x^{2}) - (9 x - 1)$

Step 1.4

Factor $- 1$ out of $- (- 6 x (x - 4) + 16 x^{2}) - (9 x - 1)$ .

$- (- 6 x (x - 4) + 16 x^{2} + 9 x - 1)$

Step 2

Apply the distributive property.

$- (- 6 x \cdot x - 6 x \cdot - 4 + 16 x^{2} + 9 x - 1)$

Step 3

Multiply $x$ by $x$ by adding the exponents.

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Step 3.1

Move $x$ .

$- (- 6 (x \cdot x) - 6 x \cdot - 4 + 16 x^{2} + 9 x - 1)$

Step 3.2

Multiply $x$ by $x$ .

$- (- 6 x^{2} - 6 x \cdot - 4 + 16 x^{2} + 9 x - 1)$

Step 4

Multiply $- 4$ by $- 6$ .

$- (- 6 x^{2} + 24 x + 16 x^{2} + 9 x - 1)$

Step 5

Add $- 6 x^{2}$ and $16 x^{2}$ .

$- (10 x^{2} + 24 x + 9 x - 1)$

Step 6

Add $24 x$ and $9 x$ .

$- (10 x^{2} + 33 x - 1)$