en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

factor

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

Solution

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

Solution steps

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

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

Factor out

4 x^{2}

from

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

Factor out

- 1

from

- x - 1 : - (x + 1)

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

Factor out common term

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

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

Factor

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

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

Popular Examples

simplify-(5pi)/3*(180)/pi simplify

- \frac{5 π}{3} \cdot \frac{180}{π}

((x+2)^2(x-9))/((8-3x))>= 0

\frac{( x + 2 ) ^{2} ( x - 9 )}{( 8 - 3 x )} \geq 0

-x+5<= 10\lor 7x-2>47

- x + 5 \leq 10 or 7 x - 2 > 47

factor x^4-3x^2 factor

x^{4} - 3 x^{2}

- 33 \geq - 3 z

Frequently Asked Questions (FAQ)

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