What is expand ((2x-3)(3x+8))/((x-6)^3) ?

The solution to expand ((2x-3)(3x+8))/((x-6)^3) is (6x^2+7x-24)/(x^3-18x^2+108x-216)

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expand ((2x-3)(3x+8))/((x-6)^3)

expand

\frac{( 2 x - 3 ) ( 3 x + 8 )}{( x - 6 ) ^{3}}

\frac{6 x ^{2} + 7 x - 24}{x ^{3} - 18 x ^{2} + 108 x - 216}

Solution steps

\frac{( 2 x - 3 ) ( 3 x + 8 )}{( x - 6 ) ^{3}}

(x - 6)^{3} = x^{3} - 18 x^{2} + 108 x - 216

= \frac{( 2 x - 3 ) ( 3 x + 8 )}{x ^{3} - 18 x ^{2} + 108 x - 216}

Expand

(2 x - 3) (3 x + 8) : 6 x^{2} + 7 x - 24

= \frac{6 x ^{2} + 7 x - 24}{x ^{3} - 18 x ^{2} + 108 x - 216}

\frac{- \frac{12}{4} - 45}{24} - 2 (- 3 + 5 - 37 + 62 - 17)

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

lo g_{10} (\frac{y z ^{5}}{x ^{3}})

\frac{\partial}{\partial x} ((z) (4 x^{2} + 3 y^{2} + 3 x))

(z - \frac{5}{3}) (z - \frac{2}{3})

What is expand ((2x-3)(3x+8))/((x-6)^3) ?
The solution to expand ((2x-3)(3x+8))/((x-6)^3) is (6x^2+7x-24)/(x^3-18x^2+108x-216)