What is factor 8x^3+4x^2-2x-1 ?

The solution to factor 8x^3+4x^2-2x-1 is (2x+1)^2(2x-1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 8x^3+4x^2-2x-1

factor

8 x^{3} + 4 x^{2} - 2 x - 1

(2 x + 1)^{2} (2 x - 1)

Solution steps

8 x^{3} + 4 x^{2} - 2 x - 1

= (8 x^{3} + 4 x^{2}) + (- 2 x - 1)

Factor out

4 x^{2}

from

8 x^{3} + 4 x^{2} : 4 x^{2} (2 x + 1)

Factor out

- 1

from

- 2 x - 1 : - (2 x + 1)

= 4 x^{2} (2 x + 1) - (2 x + 1)

Factor out common term

(2 x + 1) : (2 x + 1) (4 x^{2} - 1)

= (2 x + 1) (4 x^{2} - 1)

Factor

4 x^{2} - 1 : (2 x + 1) (2 x - 1)

= (2 x + 1) (2 x + 1) (2 x - 1)

Apply exponent rule:

aa = a^{2}

(2 x + 1) (2 x + 1) = (2 x + 1)^{2}

= (2 x + 1)^{2} (2 x - 1)

8 x^{4} < 9 x^{3}

8^{3}

64 \cdot 2

(x + 3) (x - 2) < 0

\frac{x}{4} \geq - 1

What is factor 8x^3+4x^2-2x-1 ?
The solution to factor 8x^3+4x^2-2x-1 is (2x+1)^2(2x-1)