What is ((6a^4+3a^3+6a^2))/((3a^2)) ?

The solution to ((6a^4+3a^3+6a^2))/((3a^2)) is 2a^2+a+2

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simplify ((6a^4+3a^3+6a^2))/((3a^2))

simplify

\frac{( 6 a ^{4} + 3 a ^{3} + 6 a ^{2} )}{( 3 a ^{2} )}

2 a^{2} + a + 2

Solution steps

\frac{6 a ^{4} + 3 a ^{3} + 6 a ^{2}}{3 a ^{2}}

Factor

6 a^{4} + 3 a^{3} + 6 a^{2} : 3 a^{2} (2 a^{2} + a + 2)

= \frac{3 a ^{2} ( 2 a ^{2} + a + 2 )}{3 a ^{2}}

Cancel the common factor:

3

= \frac{a ^{2} ( 2 a ^{2} + a + 2 )}{a ^{2}}

Cancel the common factor:

a^{2}

= 2 a^{2} + a + 2

(x - y + z)^{2} + 2 (x - y + z) (y - z + x) + (y - z + x)^{2}

\frac{( 9 a ^{9} - 9 a ^{7} + 18 a ^{4} )}{( 15 a ^{8} )}

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

(- 4 x^{3})^{2} \cdot (8 x^{4})^{- 1}

(p^{- 1} + q^{- 1})^{- 1}

What is ((6a^4+3a^3+6a^2))/((3a^2)) ?
The solution to ((6a^4+3a^3+6a^2))/((3a^2)) is 2a^2+a+2