What is 5/((a+2b))-2/((a-2b)) ?

The solution to 5/((a+2b))-2/((a-2b)) is (3a-14b)/((a+2b)(a-2b))

Popular >

simplify 5/((a+2b))-2/((a-2b))

simplify

\frac{5}{( a + 2 b )} - \frac{2}{( a - 2 b )}

\frac{3 a - 14 b}{( a + 2 b ) ( a - 2 b )}

Solution steps

\frac{5}{a + 2 b} - \frac{2}{a - 2 b}

Least Common Multiplier of

a + 2 b, a - 2 b : (a + 2 b) (a - 2 b)

Adjust Fractions based on the LCM

= \frac{5 ( a - 2 b )}{( a + 2 b ) ( a - 2 b )} - \frac{2 ( a + 2 b )}{( a + 2 b ) ( a - 2 b )}

Apply the fraction rule:

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

= \frac{5 ( a - 2 b ) - 2 ( a + 2 b )}{( a + 2 b ) ( a - 2 b )}

Simplify

5 (a - 2 b) - 2 (a + 2 b) : 3 a - 14 b

= \frac{3 a - 14 b}{( a + 2 b ) ( a - 2 b )}

(\frac{1}{2 x ^{2} + 2 y})^{3}

(3 a + 2)^{3}

2 x^{3} + x - 3

(\frac{b ^{2}}{4 a}) + (\frac{b ^{3}}{4 a ^{2}})

\frac{( 5 x ^{3} - 13 x ^{2} + 4 x + 4 )}{( 5 x + 2 )}

What is 5/((a+2b))-2/((a-2b)) ?
The solution to 5/((a+2b))-2/((a-2b)) is (3a-14b)/((a+2b)(a-2b))