What is (a+1)/a+2/(a+1) ?

The solution to (a+1)/a+2/(a+1) is (a^2+4a+1)/(a(a+1))

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simplify (a+1)/a+2/(a+1)

simplify

\frac{a + 1}{a} + \frac{2}{a + 1}

\frac{a ^{2} + 4 a + 1}{a ( a + 1 )}

Solution steps

\frac{a + 1}{a} + \frac{2}{a + 1}

Least Common Multiplier of

a, a + 1 : a (a + 1)

Adjust Fractions based on the LCM

= \frac{( a + 1 ) ^{2}}{a ( a + 1 )} + \frac{2 a}{a ( a + 1 )}

Apply the fraction rule:

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

= \frac{( a + 1 ) ^{2} + 2 a}{a ( a + 1 )}

Simplify

(a + 1)^{2} + 2 a : a^{2} + 4 a + 1

= \frac{a ^{2} + 4 a + 1}{a ( a + 1 )}

\frac{x ^{2} - 81}{6 x ^{2} - 54 x}

1 + d^{9}

y^{2} - 144

50 x^{2}

cos (x) - cos (x)

What is (a+1)/a+2/(a+1) ?
The solution to (a+1)/a+2/(a+1) is (a^2+4a+1)/(a(a+1))