What is (2.01^2-4)/(2.01-2) ?

The solution to (2.01^2-4)/(2.01-2) is 4.01

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simplify (2.01^2-4)/(2.01-2)

simplify

\frac{2.0 1 ^{2} - 4}{2.01 - 2}

4.01

Solution steps

\frac{2.0 1 ^{2} - 4}{2.01 - 2}

Factor

2.0 1^{2} - 4 : (2.01 + 2) (2.01 - 2)

= \frac{( 2.01 + 2 ) ( 2.01 - 2 )}{2.01 - 2}

\frac{( 2.01 + 2 ) ( 2.01 - 2 )}{2.01 - 2} = \frac{4.01 \cdot 0.01}{0.01}

= \frac{4.01 \cdot 0.01}{0.01}

Cancel the common factor:

0.01

= 4.01

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