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Popular >

simplify 6x+1+5/(x-1)

Solution

simplify

6 x + 1 + \frac{5}{x - 1}

Solution

\frac{6 x ^{2} - 5 x + 4}{x - 1}

Solution steps

6 x + 1 + \frac{5}{x - 1}

Convert

6 x

to fraction

: \frac{6 x ( x - 1 )}{x - 1}

Convert

1

to fraction

: \frac{x - 1}{x - 1}

= \frac{6 x ( x - 1 )}{x - 1} + \frac{x - 1}{x - 1} + \frac{5}{x - 1}

Apply the fraction rule:

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

= \frac{6 x ( x - 1 ) + x - 1 + 5}{x - 1}

Add the numbers:

- 1 + 5 = 4

= \frac{6 x ( x - 1 ) + x + 4}{x - 1}

Simplify

6 x (x - 1) + x + 4 : 6 x^{2} - 5 x + 4

= \frac{6 x ^{2} - 5 x + 4}{x - 1}

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Frequently Asked Questions (FAQ)

What is 6x+1+5/(x-1) ?
The solution to 6x+1+5/(x-1) is (6x^2-5x+4)/(x-1)