What is expand ((x-3)^2(2x-3))/((x+2)(x-4)) ?

The solution to expand ((x-3)^2(2x-3))/((x+2)(x-4)) is (2x^3-15x^2+36x-27)/(x^2-2x-8)

Popular >

expand ((x-3)^2(2x-3))/((x+2)(x-4))

expand

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

\frac{2 x ^{3} - 15 x ^{2} + 36 x - 27}{x ^{2} - 2 x - 8}

Solution steps

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

(x - 3)^{2} = x^{2} - 6 x + 9

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

Expand

(x + 2) (x - 4) : x^{2} - 2 x - 8

= \frac{( x ^{2} - 6 x + 9 ) ( 2 x - 3 )}{x ^{2} - 2 x - 8}

Expand

(x^{2} - 6 x + 9) (2 x - 3) : 2 x^{3} - 15 x^{2} + 36 x - 27

= \frac{2 x ^{3} - 15 x ^{2} + 36 x - 27}{x ^{2} - 2 x - 8}

\frac{x ^{3} - 6 x ^{2} + 12 x - 8}{x - 2}

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

(- 1)^{3}

(3 + 2 y + y^{2})^{5}

\frac{3 s ^{3} + 4 s ^{2} + 36 s + 16}{( s ^{2} + 4 ) ( s ^{2} - 4 )}

What is expand ((x-3)^2(2x-3))/((x+2)(x-4)) ?
The solution to expand ((x-3)^2(2x-3))/((x+2)(x-4)) is (2x^3-15x^2+36x-27)/(x^2-2x-8)