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

The solution to 7/(2x+3)+2/(3x+2) is (25x+20)/((2x+3)(3x+2))

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

simplify

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

\frac{25 x + 20}{( 2 x + 3 ) ( 3 x + 2 )}

Solution steps

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

Least Common Multiplier of

2 x + 3, 3 x + 2 : (2 x + 3) (3 x + 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

7 (3 x + 2) + 2 (2 x + 3) : 25 x + 20

= \frac{25 x + 20}{( 2 x + 3 ) ( 3 x + 2 )}

(4 x + 9) (4 x - 9)

\frac{12 x ^{2} y ^{5}}{18 x ^{2} y ^{3}}

\frac{7}{8} - \frac{1}{3}

(2 x + 3 y)^{2} + (2 x - 3 y)^{2}

x^{3} + x^{5}

What is 7/(2x+3)+2/(3x+2) ?
The solution to 7/(2x+3)+2/(3x+2) is (25x+20)/((2x+3)(3x+2))