What is 1/((2a-b)(a-c))+1/((b-c)(b-2a)) ?

The solution to 1/((2a-b)(a-c))+1/((b-c)(b-2a)) is -(-b+a)/((a-c)(b-c)(2a-b))

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simplify 1/((2a-b)(a-c))+1/((b-c)(b-2a))

simplify

\frac{1}{( 2 a - b ) ( a - c )} + \frac{1}{( b - c ) ( b - 2 a )}

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

Solution steps

\frac{1}{( 2 a - b ) ( a - c )} + \frac{1}{( b - c ) ( b - 2 a )}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Add similar elements:

c - c = 0

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

Apply the fraction rule:

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

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

9 d + d - 3 d = 14

\frac{5}{8} - \frac{1}{3}

45 x^{3} y^{8}

20 x^{2} + 3 x y - 2 y^{2}

8 y^{4} + x^{3} y

What is 1/((2a-b)(a-c))+1/((b-c)(b-2a)) ?
The solution to 1/((2a-b)(a-c))+1/((b-c)(b-2a)) is -(-b+a)/((a-c)(b-c)(2a-b))