What is 1/((u-sqrt(3)+2)(u+\sqrt{3)+2)} ?

The solution to 1/((u-sqrt(3)+2)(u+\sqrt{3)+2)} is 1/(u^2+4u+1)

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simplify 1/((u-sqrt(3)+2)(u+\sqrt{3)+2)}

simplify

\frac{1}{( u - 3 + 2 ) ( u + 3 + 2 )}

\frac{1}{u ^{2} + 4 u + 1}

Solution steps

\frac{1}{( u - 3 + 2 ) ( u + 3 + 2 )}

Distribute parentheses

= \frac{1}{uu + u 3 + u \cdot 2 - 3 u - 3 3 - 3 \cdot 2 + 2 u + 2 3 + 2 \cdot 2}

Simplify

uu + u 3 + u \cdot 2 - 3 u - 33 - 3 \cdot 2 + 2 u + 23 + 2 \cdot 2 : u^{2} + 4 u + 1

= \frac{1}{u ^{2} + 4 u + 1}

\frac{3 Z ^{2} - 18 Z + 26}{( Z - 2 ) ( Z - 3 ) ( Z - 4 )}

\frac{π ( 8 + ln ( 5 ) )}{2}

\frac{s + 3}{( s ^{2} + 6 s + 34 ) ^{2}}

\frac{d}{d t} ((s) ((k^{2} + 1) t))

\frac{1}{( s + 1 ) ( s - 1 ) ( 2 s + 1 )}

What is 1/((u-sqrt(3)+2)(u+\sqrt{3)+2)} ?
The solution to 1/((u-sqrt(3)+2)(u+\sqrt{3)+2)} is 1/(u^2+4u+1)