What is 7/(x+4)+3/(x+6) ?

The solution to 7/(x+4)+3/(x+6) is (10x+54)/((x+4)(x+6))

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simplify 7/(x+4)+3/(x+6)

simplify

\frac{7}{x + 4} + \frac{3}{x + 6}

\frac{10 x + 54}{( x + 4 ) ( x + 6 )}

Solution steps

\frac{7}{x + 4} + \frac{3}{x + 6}

Least Common Multiplier of

x + 4, x + 6 : (x + 4) (x + 6)

Adjust Fractions based on the LCM

= \frac{7 ( x + 6 )}{( x + 4 ) ( x + 6 )} + \frac{3 ( x + 4 )}{( x + 4 ) ( x + 6 )}

Apply the fraction rule:

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

= \frac{7 ( x + 6 ) + 3 ( x + 4 )}{( x + 4 ) ( x + 6 )}

Simplify

7 (x + 6) + 3 (x + 4) : 10 x + 54

= \frac{10 x + 54}{( x + 4 ) ( x + 6 )}

8. 2^{2} + 8.2 \cdot 1.8

(7 m - 8)^{2}

(z - 1) (z - 1)

4 x^{3} - 48 x

\frac{6}{5} \div \frac{5}{8}

What is 7/(x+4)+3/(x+6) ?
The solution to 7/(x+4)+3/(x+6) is (10x+54)/((x+4)(x+6))