Trigonometría Ejemplos

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

Paso 1

Aplica la propiedad distributiva.

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

Paso 2

Simplifica.

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Paso 2.1

Multiplica $0.005$ por $- 1$ .

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

Paso 2.2

Multiplica $4.9$ por $- 1$ .

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

Paso 2.3

Multiplica $- 1$ por $40$ .

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

Paso 3

Resta $4.9 x$ de $8 x$ .

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

Paso 4

Factoriza $0.005$ de $- 0.005 x^{2} + 3.1 x - 40$ .

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Paso 4.1

Factoriza $0.005$ de $- 0.005 x^{2}$ .

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

Paso 4.2

Factoriza $0.005$ de $3.1 x$ .

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

Paso 4.3

Factoriza $0.005$ de $- 40$ .

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

Paso 4.4

Factoriza $0.005$ de $0.005 (- x^{2}) + 0.005 (620 x)$ .

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

Paso 4.5

Factoriza $0.005$ de $0.005 (- x^{2} + 620 x) + 0.005 (- 8000)$ .

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