What is 8/(x-2)+2/(x-3) ?

The solution to 8/(x-2)+2/(x-3) is (10x-28)/((x-2)(x-3))

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simplify 8/(x-2)+2/(x-3)

simplify

\frac{8}{x - 2} + \frac{2}{x - 3}

\frac{10 x - 28}{( x - 2 ) ( x - 3 )}

Solution steps

\frac{8}{x - 2} + \frac{2}{x - 3}

Least Common Multiplier of

x - 2, x - 3 : (x - 2) (x - 3)

Adjust Fractions based on the LCM

= \frac{8 ( x - 3 )}{( x - 2 ) ( x - 3 )} + \frac{2 ( x - 2 )}{( x - 2 ) ( x - 3 )}

Apply the fraction rule:

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

= \frac{8 ( x - 3 ) + 2 ( x - 2 )}{( x - 2 ) ( x - 3 )}

Simplify

8 (x - 3) + 2 (x - 2) : 10 x - 28

= \frac{10 x - 28}{( x - 2 ) ( x - 3 )}

5 (1 - x)^{2}

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

- 50 \div 10

i^{8} - i^{9} + i^{10}

a^{2} b - 12 + (- 8) a + 12 + 7 a^{2} b

What is 8/(x-2)+2/(x-3) ?
The solution to 8/(x-2)+2/(x-3) is (10x-28)/((x-2)(x-3))