What is expand (tx)/(6(3x^2+2)+t(3x^2+2)^2) ?

The solution to expand (tx)/(6(3x^2+2)+t(3x^2+2)^2) is (tx)/(18x^2+12+9tx^4+12tx^2+4t)

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expand (tx)/(6(3x^2+2)+t(3x^2+2)^2)

expand

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

\frac{t x}{18 x ^{2} + 12 + 9 t x ^{4} + 12 t x ^{2} + 4 t}

Solution steps

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

(3 x^{2} + 2)^{2} = 9 x^{4} + 12 x^{2} + 4

= \frac{t x}{6 ( 3 x ^{2} + 2 ) + t ( 9 x ^{4} + 12 x ^{2} + 4 )}

Expand

6 (3 x^{2} + 2) + t (9 x^{4} + 12 x^{2} + 4) : 18 x^{2} + 12 + 9 t x^{4} + 12 t x^{2} + 4 t

= \frac{t x}{18 x ^{2} + 12 + 9 t x ^{4} + 12 t x ^{2} + 4 t}

49 π (19 e^{20} - 5 e^{6})

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

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

\frac{2}{9} \cdot (3 + \frac{9}{5}) - 1.5 \cdot \frac{4}{5}

What is expand (tx)/(6(3x^2+2)+t(3x^2+2)^2) ?
The solution to expand (tx)/(6(3x^2+2)+t(3x^2+2)^2) is (tx)/(18x^2+12+9tx^4+12tx^2+4t)