What is factor (x^3-4x)+(8-2x^2) ?

The solution to factor (x^3-4x)+(8-2x^2) is (x+2)(x-2)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x^3-4x)+(8-2x^2)

factor

(x^{3} - 4 x) + (8 - 2 x^{2})

(x + 2) (x - 2)^{2}

Solution steps

(x^{3} - 4 x) + (8 - 2 x^{2})

Factor

x^{3} - 4 x : x (x + 2) (x - 2)

Factor

8 - 2 x^{2} : 2 (2 + x) (2 - x)

= x (x + 2) (x - 2) + 2 (2 + x) (2 - x)

2 (2 + x) (2 - x) = - 2 (2 + x) (x - 2)

= x (x + 2) (x - 2) - 2 (2 + x) (x - 2)

Factor out common term

(x + 2) (x - 2) : (x + 2) (x - 2) (x - 2)

= (x + 2) (x - 2) (x - 2)

Apply exponent rule:

aa = a^{2}

(x - 2) (x - 2) = (x - 2)^{2}

= (x + 2) (x - 2)^{2}

\frac{y ^{- 7}}{y ^{- 8}}

10 y = 5 y + 9 + 4 y

8 - 18 x^{2}

x = \frac{50}{1.6 \cdot 1 0 ^{- 3}}

(\frac{7}{25})^{2} - (\frac{24}{25})^{2}

What is factor (x^3-4x)+(8-2x^2) ?
The solution to factor (x^3-4x)+(8-2x^2) is (x+2)(x-2)^2