What is 7/(4x)+5/(4x^2) ?

The solution to 7/(4x)+5/(4x^2) is (7x+5)/(4x^2)

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simplify 7/(4x)+5/(4x^2)

simplify

\frac{7}{4 x} + \frac{5}{4 x ^{2}}

\frac{7 x + 5}{4 x ^{2}}

Solution steps

\frac{7}{4 x} + \frac{5}{4 x ^{2}}

Least Common Multiplier of

4 x, 4 x^{2} : 4 x^{2}

Adjust Fractions based on the LCM

= \frac{7 x}{4 x ^{2}} + \frac{5}{4 x ^{2}}

Apply the fraction rule:

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

= \frac{7 x + 5}{4 x ^{2}}

- lo g_{10} (4)

\frac{3 π}{3}

lo g_{\frac{1}{4}} (\frac{1}{4})

\frac{x}{x ^{2} - 2 x - 15} - \frac{4}{x ^{2} + 2 x - 35}

4 \times (- 7)