What is ((4x^{12}+2x^6))/((4x^9)) ?

The solution to ((4x^{12}+2x^6))/((4x^9)) is (2x^6+1)/(2x^3)

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simplify ((4x^{12}+2x^6))/((4x^9))

simplify

\frac{( 4 x ^{12} + 2 x ^{6} )}{( 4 x ^{9} )}

\frac{2 x ^{6} + 1}{2 x ^{3}}

Solution steps

\frac{4 x ^{12} + 2 x ^{6}}{4 x ^{9}}

Factor

4 x^{12} + 2 x^{6} : 2 x^{6} (2 x^{6} + 1)

= \frac{2 x ^{6} ( 2 x ^{6} + 1 )}{4 x ^{9}}

Factor the number:

4 = 2 \cdot 2

= \frac{2 x ^{6} ( 2 x ^{6} + 1 )}{2 \cdot 2 x ^{9}}

Cancel the common factor:

2

= \frac{x ^{6} ( 2 x ^{6} + 1 )}{2 x ^{9}}

Apply exponent rule:

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

x^{9} = x^{6} x^{3}

= \frac{x ^{6} ( 2 x ^{6} + 1 )}{2 x ^{6} x ^{3}}

Cancel the common factor:

x^{6}

= \frac{2 x ^{6} + 1}{2 x ^{3}}

\frac{( 2 x ^{- 4} - 6 x ^{5} + 4 x ^{2} )}{( 2 x ^{2} )}

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12 x^{2} y + 4 x^{2}

6.91 x 1 0^{2} + (- 7.2) x 1 0^{2}

2 x^{2} + 4 x + 2 - 2 y^{2}

What is ((4x^{12}+2x^6))/((4x^9)) ?
The solution to ((4x^{12}+2x^6))/((4x^9)) is (2x^6+1)/(2x^3)