What is factor 8/(5d+4)-1/(2d-3) ?

The solution to factor 8/(5d+4)-1/(2d-3) is (11d-28)/((5d+4)(2d-3))

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factor 8/(5d+4)-1/(2d-3)

factor

\frac{8}{5 d + 4} - \frac{1}{2 d - 3}

\frac{11 d - 28}{( 5 d + 4 ) ( 2 d - 3 )}

Solution steps

\frac{8}{5 d + 4} - \frac{1}{2 d - 3}

Least Common Multiplier of

5 d + 4, 2 d - 3 : (5 d + 4) (2 d - 3)

Adjust Fractions based on the LCM

= \frac{8 ( 2 d - 3 )}{( 5 d + 4 ) ( 2 d - 3 )} - \frac{5 d + 4}{( 5 d + 4 ) ( 2 d - 3 )}

Since the denominators are equal, combine the fractions:

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

= \frac{8 ( 2 d - 3 ) - ( 5 d + 4 )}{( 5 d + 4 ) ( 2 d - 3 )}

Expand

8 (2 d - 3) - (5 d + 4) : 11 d - 28

= \frac{11 d - 28}{( 5 d + 4 ) ( 2 d - 3 )}

∣ x ∣ = x + 3

\frac{1}{6} (x^{2} - 3 x + 2) = 0.4

\frac{m}{2} \geq 2

3 (x - 1) + 2 (x + 2) - 5 = 4 x + 6

2 7^{- \frac{5}{3}}

What is factor 8/(5d+4)-1/(2d-3) ?
The solution to factor 8/(5d+4)-1/(2d-3) is (11d-28)/((5d+4)(2d-3))