What is (t^2-5t+6)/(t^2-t-2) ?

The solution to (t^2-5t+6)/(t^2-t-2) is (t-3)/(t+1)

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simplify (t^2-5t+6)/(t^2-t-2)

simplify

\frac{t ^{2} - 5 t + 6}{t ^{2} - t - 2}

\frac{t - 3}{t + 1}

Solution steps

\frac{t ^{2} - 5 t + 6}{t ^{2} - t - 2}

Factor

t^{2} - 5 t + 6 : (t - 2) (t - 3)

= \frac{( t - 2 ) ( t - 3 )}{t ^{2} - t - 2}

Factor

t^{2} - t - 2 : (t + 1) (t - 2)

= \frac{( t - 2 ) ( t - 3 )}{( t + 1 ) ( t - 2 )}

Cancel the common factor:

t - 2

= \frac{t - 3}{t + 1}

x^{2} + x - 110

- a

2 y

2 \frac{1}{5} - 1 \frac{1}{4}

1 + 2 + 3 + 4 + 5 + 6 + 7

What is (t^2-5t+6)/(t^2-t-2) ?
The solution to (t^2-5t+6)/(t^2-t-2) is (t-3)/(t+1)