What is (1.01^2-1)/(1.01-1) ?

The solution to (1.01^2-1)/(1.01-1) is 2.01

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simplify (1.01^2-1)/(1.01-1)

simplify

\frac{1.0 1 ^{2} - 1}{1.01 - 1}

2.01

Solution steps

\frac{1.0 1 ^{2} - 1}{1.01 - 1}

Factor

1.0 1^{2} - 1 : (1.01 + 1) (1.01 - 1)

= \frac{( 1.01 + 1 ) ( 1.01 - 1 )}{1.01 - 1}

\frac{( 1.01 + 1 ) ( 1.01 - 1 )}{1.01 - 1} = \frac{2.01 \cdot 0.01}{0.01}

= \frac{2.01 \cdot 0.01}{0.01}

Cancel the common factor:

0.01

= 2.01

sin^{2} (5 x) + cos^{2} (5 x)

x^{2} + 2 x + 5 x + 10

3 (a + 1)^{2}

\frac{x ( x + 2 )}{x ^{2}}

3^{0} \cdot 3^{2}