What is expand 1/(x-2)-4/(x^2-4) ?

The solution to expand 1/(x-2)-4/(x^2-4) is 1/(x+2)

Popular >

expand 1/(x-2)-4/(x^2-4)

expand

\frac{1}{x - 2} - \frac{4}{x ^{2} - 4}

\frac{1}{x + 2}

Solution steps

\frac{1}{x - 2} - \frac{4}{x ^{2} - 4}

Factor

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

= \frac{1}{x - 2} - \frac{4}{( x + 2 ) ( x - 2 )}

Least Common Multiplier of

x - 2, (x + 2) (x - 2) : (x - 2) (x + 2)

Adjust Fractions based on the LCM

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

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

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

Add/Subtract the numbers:

2 - 4 = - 2

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

Cancel the common factor:

x - 2

= \frac{1}{x + 2}

\frac{( 2 + j ) ( 0.6 + j ^{0.8} )}{- 4 + j} - j

lo g_{10} (3) (4 x + 6) - lo g_{3} (3 x + 9)

\frac{1}{4} (- 16 x + 8)

440

\frac{x + 1}{( x + 7 ) ^{2}}

What is expand 1/(x-2)-4/(x^2-4) ?
The solution to expand 1/(x-2)-4/(x^2-4) is 1/(x+2)