What is ((12x^4+9x^3+15x^2))/(3x) ?

The solution to ((12x^4+9x^3+15x^2))/(3x) is x(4x^2+3x+5)

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simplify ((12x^4+9x^3+15x^2))/(3x)

simplify

\frac{( 12 x ^{4} + 9 x ^{3} + 15 x ^{2} )}{3 x}

x (4 x^{2} + 3 x + 5)

Solution steps

\frac{12 x ^{4} + 9 x ^{3} + 15 x ^{2}}{3 x}

Factor

12 x^{4} + 9 x^{3} + 15 x^{2} : 3 x^{2} (4 x^{2} + 3 x + 5)

= \frac{3 x ^{2} ( 4 x ^{2} + 3 x + 5 )}{3 x}

Cancel the common factor:

3

= \frac{x ^{2} ( 4 x ^{2} + 3 x + 5 )}{x}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

= \frac{xx ( 4 x ^{2} + 3 x + 5 )}{x}

Cancel the common factor:

x

= x (4 x^{2} + 3 x + 5)

\frac{tan ^{5} ( x )}{tan ^{3} ( x )}

(\frac{8}{( 27 a ^{3} )})^{\frac{- 2}{3}}

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

l^{- 1} [\frac{( 2 s - 6 )}{( s ^{3} - s )}]

(3.92 - 2 x)^{2}

What is ((12x^4+9x^3+15x^2))/(3x) ?
The solution to ((12x^4+9x^3+15x^2))/(3x) is x(4x^2+3x+5)