What is (2x)/(5x+4)+(6x)/(2x+3) ?

The solution to (2x)/(5x+4)+(6x)/(2x+3) is (34x^2+30x)/((5x+4)(2x+3))

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simplify (2x)/(5x+4)+(6x)/(2x+3)

simplify

\frac{2 x}{5 x + 4} + \frac{6 x}{2 x + 3}

\frac{34 x ^{2} + 30 x}{( 5 x + 4 ) ( 2 x + 3 )}

Solution steps

\frac{2 x}{5 x + 4} + \frac{6 x}{2 x + 3}

Least Common Multiplier of

5 x + 4, 2 x + 3 : (5 x + 4) (2 x + 3)

Adjust Fractions based on the LCM

= \frac{2 x ( 2 x + 3 )}{( 5 x + 4 ) ( 2 x + 3 )} + \frac{6 x ( 5 x + 4 )}{( 5 x + 4 ) ( 2 x + 3 )}

Apply the fraction rule:

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

= \frac{2 x ( 2 x + 3 ) + 6 x ( 5 x + 4 )}{( 5 x + 4 ) ( 2 x + 3 )}

Simplify

2 x (2 x + 3) + 6 x (5 x + 4) : 34 x^{2} + 30 x

= \frac{34 x ^{2} + 30 x}{( 5 x + 4 ) ( 2 x + 3 )}

(- 1 + 3 i) (- 7 + 6 i)

x^{6} - x^{4} + 2 x^{2} - 1

2 x^{2} (9 x^{2} - 16)

(4 m^{5} - 5 m^{6}) (4 m^{5} + 5 m^{6})

\frac{1}{2} 2

What is (2x)/(5x+4)+(6x)/(2x+3) ?
The solution to (2x)/(5x+4)+(6x)/(2x+3) is (34x^2+30x)/((5x+4)(2x+3))