What is factor (x^2-1)^2-x^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x^2-1)^2-x^2

factor

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

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

Solution steps

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

Apply Difference of Two Squares Formula:

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

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

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

Apply rule:

(a) = a

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

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

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

\frac{7 - 3 i}{7 - 2 i}

\frac{0.1 + 4 - 2}{0.1}

\frac{3}{4} \cdot \frac{12}{27}

\frac{3 a}{a - 1} + \frac{2}{3 a + 4}

- \frac{1}{3} - (- \frac{1}{2})

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