What is (n+3)/(3n^2-10n+8)+3 ?

The solution to (n+3)/(3n^2-10n+8)+3 is (9n^2-29n+27)/(3n^2-10n+8)

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simplify (n+3)/(3n^2-10n+8)+3

simplify

\frac{n + 3}{3 n ^{2} - 10 n + 8} + 3

\frac{9 n ^{2} - 29 n + 27}{3 n ^{2} - 10 n + 8}

Solution steps

\frac{n + 3}{3 n ^{2} - 10 n + 8} + 3

Apply the fraction rule:

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

= \frac{3 ( 3 n ^{2} - 10 n + 8 ) + n + 3}{3 n ^{2} - 10 n + 8}

Simplify

3 (3 n^{2} - 10 n + 8) + n + 3 : 9 n^{2} - 29 n + 27

= \frac{9 n ^{2} - 29 n + 27}{3 n ^{2} - 10 n + 8}

\frac{1}{2} (10 x - 2) + 3 x = - 25

\frac{6}{x - 1} - \frac{6}{x} \geq 1

- 5 x^{2} y + 10 x y - 15 x y^{2}

5^{- 2} \cdot 5^{5}

5 \leq 1 - r

What is (n+3)/(3n^2-10n+8)+3 ?
The solution to (n+3)/(3n^2-10n+8)+3 is (9n^2-29n+27)/(3n^2-10n+8)