What is expand ((4-(u-2)^2))/u*(u-2) ?

The solution to expand ((4-(u-2)^2))/u*(u-2) is -u^2+6u-8

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expand ((4-(u-2)^2))/u*(u-2)

expand

\frac{( 4 - ( u - 2 ) ^{2} )}{u} \cdot (u - 2)

- u^{2} + 6 u - 8

Solution steps

\frac{4 - ( u - 2 ) ^{2}}{u} (u - 2)

Apply the distributive law:

a (b - c) = ab - a c

\frac{4 - ( u - 2 ) ^{2}}{u} (u - 2) = \frac{4 - ( u - 2 ) ^{2}}{u} u - \frac{4 - ( u - 2 ) ^{2}}{u} \cdot 2

= \frac{4 - ( u - 2 ) ^{2}}{u} u - \frac{4 - ( u - 2 ) ^{2}}{u} \cdot 2

Simplify

\frac{4 - ( u - 2 ) ^{2}}{u} u - \frac{4 - ( u - 2 ) ^{2}}{u} \cdot 2 : - u^{2} + 6 u - 8

= - u^{2} + 6 u - 8

- \frac{2 ( 4 e ^{\frac{π}{2}} + 4 )}{π}

- {- 5 + 3 x^{3} - [- (\frac{6}{3} + 2)]}

\frac{( ln ( 3 ) + 1 ) ln ( 8 x )}{ln ( 3 x ) + 1}

\frac{( a + s ) ^{2} - b ^{2}}{( a + s ) ^{3}}

A (- 12.23) B (- 11, - 15)

What is expand ((4-(u-2)^2))/u*(u-2) ?
The solution to expand ((4-(u-2)^2))/u*(u-2) is -u^2+6u-8