What is ((x-1)(x-2.5))/((x-3))-1 ?

The solution to ((x-1)(x-2.5))/((x-3))-1 is (x^2-4.5x+5.5)/(x-3)

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simplify ((x-1)(x-2.5))/((x-3))-1

simplify

\frac{( x - 1 ) ( x - 2.5 )}{( x - 3 )} - 1

\frac{x ^{2} - 4.5 x + 5.5}{x - 3}

Solution steps

\frac{( x - 1 ) ( x - 2.5 )}{x - 3} - 1

Apply the fraction rule:

a + \frac{b}{c} = \frac{a c + b}{c}

= \frac{- 1 \cdot ( x - 3 ) + ( x - 1 ) ( x - 2.5 )}{x - 3}

Apply rule:

1 \cdot a = a

- 1 \cdot (x - 3) = - (x - 3)

= \frac{- ( x - 3 ) + ( x - 1 ) ( x - 2.5 )}{x - 3}

Simplify

- (x - 3) + (x - 1) (x - 2.5) : x^{2} - 4.5 x + 5.5

= \frac{x ^{2} - 4.5 x + 5.5}{x - 3}

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\frac{2 ( x - 3 ) \cdot e ^{8 x}}{( x + 5 ) ^{7}}

(\frac{1}{x} + 3 x^{2})^{5}

- \frac{( k + 1 ) ( 25 k + 41 )}{2 ( - 15 k + 1 )}

(\frac{2 n}{7} - 2 x^{2}) \cdot 3 y^{4}

What is ((x-1)(x-2.5))/((x-3))-1 ?
The solution to ((x-1)(x-2.5))/((x-3))-1 is (x^2-4.5x+5.5)/(x-3)