What is (-a+sqrt(a^2-4))^2 ?

The solution to (-a+sqrt(a^2-4))^2 is 2a^2-2asqrt(a^2-4)-4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-a+sqrt(a^2-4))^2

simplify

(- a + a^{2} - 4)^{2}

2 a^{2} - 2 a a^{2} - 4 - 4

Solution steps

(- a + a^{2} - 4)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(- a + a^{2} - 4)^{2} = (- a)^{2} + 2 (- a) a^{2} - 4 + (a^{2} - 4)^{2}

= (- a)^{2} + 2 (- a) a^{2} - 4 + (a^{2} - 4)^{2}

Simplify

(- a)^{2} + 2 (- a) a^{2} - 4 + (a^{2} - 4)^{2} : 2 a^{2} - 2 a a^{2} - 4 - 4

= 2 a^{2} - 2 a a^{2} - 4 - 4

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

e^{x^{x}} x^{x} (ln (x) + 1) + e^{x^{x}} x^{2 x} (ln (x) + 1)

(- sin (x)) (1 - sin (x))

\frac{1 - e ^{- x} + x ^{2} + 4 x}{x ( x ^{2} + 4 x + 5 )}

c (8, 4) yD I (12, - 4)

What is (-a+sqrt(a^2-4))^2 ?
The solution to (-a+sqrt(a^2-4))^2 is 2a^2-2asqrt(a^2-4)-4