What is (3a^2-2a)*a^{-1} ?

The solution to (3a^2-2a)*a^{-1} is 3a-2

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simplify (3a^2-2a)*a^{-1}

simplify

(3 a^{2} - 2 a) \cdot a^{- 1}

3 a - 2

Solution steps

(3 a^{2} - 2 a) a^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

a^{- 1} = \frac{1}{a}

= (3 a^{2} - 2 a) \frac{1}{a}

Apply the fraction rule:

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

= \frac{( 3 a ^{2} - 2 a ) \cdot 1}{a}

Apply rule:

a \cdot 1 = a

(3 a^{2} - 2 a) \cdot 1 = (3 a^{2} - 2 a)

= \frac{3 a ^{2} - 2 a}{a}

Factor

3 a^{2} - 2 a : a (3 a - 2)

= \frac{a ( 3 a - 2 )}{a}

Cancel the common factor:

a

= 3 a - 2

5 x^{y} (2 x^{4} y^{- 3})

5 \frac{x}{y}

\frac{( x - 2 )}{( x ^{2} - 1 )} - \frac{( x + 1 )}{( x ^{2} - 2 x + 1 )}

1 (5 - 5 x)^{2}

(c) - \frac{3}{5} + \frac{4}{9} - \frac{3}{15} - \frac{7}{12}