What is (m^2-m+1)/(m-m^2-1) ?

The solution to (m^2-m+1)/(m-m^2-1) is -1

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simplify (m^2-m+1)/(m-m^2-1)

simplify

\frac{m ^{2} - m + 1}{m - m ^{2} - 1}

- 1

Solution steps

\frac{m ^{2} - m + 1}{m - m ^{2} - 1}

m - m^{2} - 1 = - (m^{2} - m + 1)

= \frac{m ^{2} - m + 1}{- ( m ^{2} - m + 1 )}

Cancel the common factor:

m^{2} - m + 1

= \frac{1}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - 1

\frac{1}{3} \cdot \frac{2}{7}

\frac{10 !}{7 ! \cdot 3 !}

\frac{15 x ^{2}}{5 x}

- 2 (x + 4)