What is (sqrt(x^2+ax-1)-sqrt(x^2-ax+1))*(sqrt(x^2+ax-1)+sqrt(x^2-ax+1)) ?

The solution to (sqrt(x^2+ax-1)-sqrt(x^2-ax+1))*(sqrt(x^2+ax-1)+sqrt(x^2-ax+1)) is 2ax-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(x^2+ax-1)-sqrt(x^2-ax+1))*(sqrt(x^2+ax-1)+sqrt(x^2-ax+1))

simplify

(x^{2} + a x - 1 - x^{2} - a x + 1) \cdot (x^{2} + a x - 1 + x^{2} - a x + 1)

2 a x - 2

Solution steps

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

Apply Difference of Two Squares

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

= 2 a x - 2

(\frac{2 x}{3} - \frac{2}{y})^{4}

(2 - 3 i)^{5}

e^{t} (cos (2 t) - sin (2 t))^{2}

lo g_{10} (4) x^{3}

(2 - y)^{2}

What is (sqrt(x^2+ax-1)-sqrt(x^2-ax+1))*(sqrt(x^2+ax-1)+sqrt(x^2-ax+1)) ?
The solution to (sqrt(x^2+ax-1)-sqrt(x^2-ax+1))*(sqrt(x^2+ax-1)+sqrt(x^2-ax+1)) is 2ax-2