What is 4/(y+3)-3/(y-3) ?

The solution to 4/(y+3)-3/(y-3) is (y-21)/((y+3)(y-3))

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simplify 4/(y+3)-3/(y-3)

simplify

\frac{4}{y + 3} - \frac{3}{y - 3}

\frac{y - 21}{( y + 3 ) ( y - 3 )}

Solution steps

\frac{4}{y + 3} - \frac{3}{y - 3}

Least Common Multiplier of

y + 3, y - 3 : (y + 3) (y - 3)

Adjust Fractions based on the LCM

= \frac{4 ( y - 3 )}{( y + 3 ) ( y - 3 )} - \frac{3 ( y + 3 )}{( y + 3 ) ( y - 3 )}

Apply the fraction rule:

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

= \frac{4 ( y - 3 ) - 3 ( y + 3 )}{( y + 3 ) ( y - 3 )}

Simplify

4 (y - 3) - 3 (y + 3) : y - 21

= \frac{y - 21}{( y + 3 ) ( y - 3 )}

16 a^{7} b + 54 a b^{7}

2 (\frac{x}{x + 3}) - 1

8 (5 m + 5)

2 x^{3} - 2 x^{2} - 24 x

\frac{11}{6} + (- \frac{5}{8})

What is 4/(y+3)-3/(y-3) ?
The solution to 4/(y+3)-3/(y-3) is (y-21)/((y+3)(y-3))