What is (a+2)/(6b)+(7b)/(3a+6) ?

The solution to (a+2)/(6b)+(7b)/(3a+6) is (a^2+4a+4+14b^2)/(6b(a+2))

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simplify (a+2)/(6b)+(7b)/(3a+6)

simplify

\frac{a + 2}{6 b} + \frac{7 b}{3 a + 6}

\frac{a ^{2} + 4 a + 4 + 14 b ^{2}}{6 b ( a + 2 )}

Solution steps

\frac{a + 2}{6 b} + \frac{7 b}{3 a + 6}

Least Common Multiplier of

6 b, 3 a + 6 : 6 b (a + 2)

Adjust Fractions based on the LCM

= \frac{( a + 2 ) ^{2}}{6 b ( a + 2 )} + \frac{14 b ^{2}}{6 b ( a + 2 )}

Apply the fraction rule:

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

= \frac{( a + 2 ) ^{2} + 14 b ^{2}}{6 b ( a + 2 )}

Simplify

(a + 2)^{2} + 14 b^{2} : a^{2} + 4 a + 4 + 14 b^{2}

= \frac{a ^{2} + 4 a + 4 + 14 b ^{2}}{6 b ( a + 2 )}

\frac{5}{7} (x - 3) \geq 4 x + \frac{22}{7}

6 x^{3} + 3 x \geq 4 x^{2} + 2

(- 2 r^{3} p^{2} m)^{3}

w^{2} + 10 w + 21

2 (y + 7) - 4 (y + 3) < 15 (y - 1)

What is (a+2)/(6b)+(7b)/(3a+6) ?
The solution to (a+2)/(6b)+(7b)/(3a+6) is (a^2+4a+4+14b^2)/(6b(a+2))