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

The solution to (2x-7)/(x^2-4x+4)+2/(x-2) is (4x-11)/((x-2)^2)

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

simplify

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

\frac{4 x - 11}{( x - 2 ) ^{2}}

Solution steps

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

Least Common Multiplier of

x^{2} - 4 x + 4, x - 2 : (x - 2)^{2}

Adjust Fractions based on the LCM

= \frac{2 x - 7}{( x - 2 ) ^{2}} + \frac{2 ( x - 2 )}{( x - 2 ) ^{2}}

Apply the fraction rule:

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

= \frac{2 x - 7 + 2 ( x - 2 )}{( x - 2 ) ^{2}}

Simplify

2 x - 7 + 2 (x - 2) : 4 x - 11

= \frac{4 x - 11}{( x - 2 ) ^{2}}

1 0^{- 2.4}

- 2 \cdot (- 6)

1 0^{- 3.5}

(\frac{27 x ^{6} y ^{10}}{125 x ^{- 6} y ^{7}})^{- \frac{2}{3}}

\frac{x}{2} - \frac{x}{4}

What is (2x-7)/(x^2-4x+4)+2/(x-2) ?
The solution to (2x-7)/(x^2-4x+4)+2/(x-2) is (4x-11)/((x-2)^2)