What is expand (32(x+1)(2x+1))/(3x^2) ?

The solution to expand (32(x+1)(2x+1))/(3x^2) is 64/3+(32)/x+(32)/(3x^2)

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expand (32(x+1)(2x+1))/(3x^2)

expand

\frac{32 ( x + 1 ) ( 2 x + 1 )}{3 x ^{2}}

\frac{64}{3} + \frac{32}{x} + \frac{32}{3 x ^{2}}

Solution steps

\frac{32 ( x + 1 ) ( 2 x + 1 )}{3 x ^{2}}

Expand

32 (x + 1) (2 x + 1) : 64 x^{2} + 96 x + 32

= \frac{64 x ^{2} + 96 x + 32}{3 x ^{2}}

Apply the fraction rule:

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

\frac{64 x ^{2} + 96 x + 32}{3 x ^{2}} = \frac{64 x ^{2}}{3 x ^{2}} + \frac{96 x}{3 x ^{2}} + \frac{32}{3 x ^{2}}

= \frac{64 x ^{2}}{3 x ^{2}} + \frac{96 x}{3 x ^{2}} + \frac{32}{3 x ^{2}}

Cancel

\frac{64 x ^{2}}{3 x ^{2}} : \frac{64}{3}

= \frac{64}{3} + \frac{96 x}{3 x ^{2}} + \frac{32}{3 x ^{2}}

Cancel

\frac{96 x}{3 x ^{2}} : \frac{32}{x}

= \frac{64}{3} + \frac{32}{x} + \frac{32}{3 x ^{2}}

(x + d x) (- y cos (x))

- 1 (a + b = x + 2) - 1

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

((e^{x} - e^{- x}))^{2}

y (I n y^{2} - V y + 1) V d x + x d V - V y d y

What is expand (32(x+1)(2x+1))/(3x^2) ?
The solution to expand (32(x+1)(2x+1))/(3x^2) is 64/3+(32)/x+(32)/(3x^2)