What is expand (33x^2+9x+1)/((3-x)(7x^2+2)) ?

The solution to expand (33x^2+9x+1)/((3-x)(7x^2+2)) is (33x^2+9x+1)/(21x^2+6-7x^3-2x)

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expand (33x^2+9x+1)/((3-x)(7x^2+2))

expand

\frac{33 x ^{2} + 9 x + 1}{( 3 - x ) ( 7 x ^{2} + 2 )}

\frac{33 x ^{2} + 9 x + 1}{21 x ^{2} + 6 - 7 x ^{3} - 2 x}

Solution steps

\frac{33 x ^{2} + 9 x + 1}{( 3 - x ) ( 7 x ^{2} + 2 )}

Expand

(3 - x) (7 x^{2} + 2) : 21 x^{2} + 6 - 7 x^{3} - 2 x

= \frac{33 x ^{2} + 9 x + 1}{21 x ^{2} + 6 - 7 x ^{3} - 2 x}

(2 - 3 x + 2)^{2}

(cot (2 x) + 1) (sin (2 x) - 1)

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

\frac{10 ( x - 4 )}{3}

\frac{10 x - 6}{( x - 3 ) ^{4}}

What is expand (33x^2+9x+1)/((3-x)(7x^2+2)) ?
The solution to expand (33x^2+9x+1)/((3-x)(7x^2+2)) is (33x^2+9x+1)/(21x^2+6-7x^3-2x)