What is expand 1/((a-2x)^2(b-x)) ?

The solution to expand 1/((a-2x)^2(b-x)) is 1/(a^2b-a^2x-4abx+4ax^2+4bx^2-4x^3)

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expand 1/((a-2x)^2(b-x))

expand

\frac{1}{( a - 2 x ) ^{2} ( b - x )}

\frac{1}{a ^{2} b - a ^{2} x - 4 ab x + 4 a x ^{2} + 4 b x ^{2} - 4 x ^{3}}

Solution steps

\frac{1}{( a - 2 x ) ^{2} ( b - x )}

(a - 2 x)^{2} = a^{2} - 4 a x + 4 x^{2}

= \frac{1}{( 4 x ^{2} - 4 a x + a ^{2} ) ( - x + b )}

Expand

(a^{2} - 4 a x + 4 x^{2}) (b - x) : a^{2} b - a^{2} x - 4 ab x + 4 a x^{2} + 4 b x^{2} - 4 x^{3}

= \frac{1}{a ^{2} b - a ^{2} x - 4 ab x + 4 a x ^{2} + 4 b x ^{2} - 4 x ^{3}}

\frac{12 x}{( x ^{2} + 6 ) ^{2}}

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

32 (\frac{π}{3} + \frac{3}{2})

(3 + 1 - y^{2})^{2}

(3 y^{4} + \frac{2 n}{7}) \cdot (3 y^{4} - 2 x^{2})

What is expand 1/((a-2x)^2(b-x)) ?
The solution to expand 1/((a-2x)^2(b-x)) is 1/(a^2b-a^2x-4abx+4ax^2+4bx^2-4x^3)