What is (u^2+6u-7)/(u^2-1) ?

The solution to (u^2+6u-7)/(u^2-1) is (u+7)/(u+1)

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simplify (u^2+6u-7)/(u^2-1)

simplify

\frac{u ^{2} + 6 u - 7}{u ^{2} - 1}

\frac{u + 7}{u + 1}

Solution steps

\frac{u ^{2} + 6 u - 7}{u ^{2} - 1}

Factor

u^{2} + 6 u - 7 : (u - 1) (u + 7)

= \frac{( u - 1 ) ( u + 7 )}{u ^{2} - 1}

Factor

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

= \frac{( u - 1 ) ( u + 7 )}{( u + 1 ) ( u - 1 )}

Cancel the common factor:

u - 1

= \frac{u + 7}{u + 1}

27!

3!!

(- 2 + 6 i)^{2}

3 (x + 3)^{2}

∣ 1 + 2 i ∣