Trigonometry Examples

$f (x) = 8 x - (0.005 x^{2} + 4.9 x + 40)$

Step 1

Apply the distributive property.

$f (x) = 8 x - (0.005 x^{2}) - (4.9 x) - 1 \cdot 40$

Step 2

Simplify.

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Step 2.1

Multiply $0.005$ by $- 1$ .

$f (x) = 8 x - 0.005 x^{2} - (4.9 x) - 1 \cdot 40$

Step 2.2

Multiply $4.9$ by $- 1$ .

$f (x) = 8 x - 0.005 x^{2} - 4.9 x - 1 \cdot 40$

Step 2.3

Multiply $- 1$ by $40$ .

$f (x) = 8 x - 0.005 x^{2} - 4.9 x - 40$

Step 3

Subtract $4.9 x$ from $8 x$ .

$f (x) = - 0.005 x^{2} + 3.1 x - 40$

Step 4

Factor $0.005$ out of $- 0.005 x^{2} + 3.1 x - 40$ .

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Step 4.1

Factor $0.005$ out of $- 0.005 x^{2}$ .

$f (x) = 0.005 (- x^{2}) + 3.1 x - 40$

Step 4.2

Factor $0.005$ out of $3.1 x$ .

$f (x) = 0.005 (- x^{2}) + 0.005 (620 x) - 40$

Step 4.3

Factor $0.005$ out of $- 40$ .

$f (x) = 0.005 (- x^{2}) + 0.005 (620 x) + 0.005 (- 8000)$

Step 4.4

Factor $0.005$ out of $0.005 (- x^{2}) + 0.005 (620 x)$ .

$f (x) = 0.005 (- x^{2} + 620 x) + 0.005 (- 8000)$

Step 4.5

Factor $0.005$ out of $0.005 (- x^{2} + 620 x) + 0.005 (- 8000)$ .

$f (x) = 0.005 (- x^{2} + 620 x - 8000)$