What is (x+3)/3-(x-2)/7 ?

The solution to (x+3)/3-(x-2)/7 is (4x+27)/(21)

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simplify (x+3)/3-(x-2)/7

simplify

\frac{x + 3}{3} - \frac{x - 2}{7}

\frac{4 x + 27}{21}

Solution steps

\frac{x + 3}{3} - \frac{x - 2}{7}

Least Common Multiplier of

3, 7 : 21

Adjust Fractions based on the LCM

= \frac{( x + 3 ) \cdot 7}{21} - \frac{( x - 2 ) \cdot 3}{21}

Apply the fraction rule:

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

= \frac{( x + 3 ) \cdot 7 - ( x - 2 ) \cdot 3}{21}

Simplify

(x + 3) \cdot 7 - (x - 2) \cdot 3 : 4 x + 27

= \frac{4 x + 27}{21}

\frac{x ^{3} - 3 x + 2}{x - 1}

u (3 t - 1)

1.7 a^{2} + 1.7 b^{2}

(cos (x)) (sin (x))

\frac{1}{3} + \frac{5}{2}