What is (x^2-16)/(sqrt(x)-2) ?

The solution to (x^2-16)/(sqrt(x)-2) is (x+4)(sqrt(x)+2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-16)/(sqrt(x)-2)

simplify

\frac{x ^{2} - 16}{x - 2}

(x + 4) (x + 2)

Solution steps

\frac{x ^{2} - 16}{x - 2}

Multiply by the conjugate

\frac{x + 2}{x + 2}

= \frac{( x ^{2} - 16 ) ( x + 2 )}{( x - 2 ) ( x + 2 )}

(x - 2) (x + 2) = x - 4

= \frac{( x ^{2} - 16 ) ( x + 2 )}{x - 4}

Factor

x^{2} - 16 : (x + 4) (x - 4)

= \frac{( x + 4 ) ( x - 4 ) ( x + 2 )}{x - 4}

Cancel the common factor:

x - 4

= (x + 4) (x + 2)

(a + b + c)^{2} - (a - b + c)^{2}

(10 x - y + 4) - [- (- 7 x - 21 + 3 y) - (- 3 (- 11 y + 9 x - 5))]

\frac{6 x ^{2}}{x - 1} + \frac{- 6 x}{x - 1}

10 x^{3} - 2 sec^{2} (x)

\frac{e ^{4}}{e ^{- 1} + e ^{- 2}}

What is (x^2-16)/(sqrt(x)-2) ?
The solution to (x^2-16)/(sqrt(x)-2) is (x+4)(sqrt(x)+2)