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

The solution to expand q/((x-a)^2(x-b)^2(x-c)^2) is

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expand q/((x-a)^2(x-b)^2(x-c)^2)

expand

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

\frac{q}{x ^{6} - 2 c x ^{5} + c ^{2} x ^{4} - 2 b x ^{5} + 4 b c x ^{4} - 2 b c ^{2} x ^{3} + b ^{2} x ^{4} - 2 b ^{2} c x ^{3} + b ^{2} c ^{2} x ^{2} - 2 a x ^{5} + 4 a c x ^{4} - 2 a c ^{2} x ^{3} + 4 ab x ^{4} - 8 ab c x ^{3} + 4 ab c ^{2} x ^{2} - 2 a b ^{2} x ^{3} + 4 a b ^{2} c x ^{2} - 2 a b ^{2} c ^{2} x + a ^{2} x ^{4} - 2 a ^{2} c x ^{3} + a ^{2} c ^{2} x ^{2} - 2 a ^{2} b x ^{3} + 4 a ^{2} b c x ^{2} - 2 a ^{2} b c ^{2} x + a ^{2} b ^{2} x ^{2} - 2 a ^{2} b ^{2} c x + a ^{2} b ^{2} c ^{2}}

Solution steps

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

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

= \frac{q}{( x ^{2} - 2 a x + a ^{2} ) ( x - b ) ^{2} ( x - c ) ^{2}}

(x - b)^{2} = x^{2} - 2 b x + b^{2}

= \frac{q}{( x ^{2} - 2 a x + a ^{2} ) ( x ^{2} - 2 b x + b ^{2} ) ( x - c ) ^{2}}

(x - c)^{2} = x^{2} - 2 c x + c^{2}

= \frac{q}{( x ^{2} - 2 a x + a ^{2} ) ( x ^{2} - 2 b x + b ^{2} ) ( x ^{2} - 2 c x + c ^{2} )}

Expand

(x^{2} - 2 x a + a^{2}) (x^{2} - 2 x b + b^{2}) (x^{2} - 2 x c + c^{2}) : x^{6} - 2 c x^{5} + c^{2} x^{4} - 2 b x^{5} + 4 b c x^{4} - 2 b c^{2} x^{3} + b^{2} x^{4} - 2 b^{2} c x^{3} + b^{2} c^{2} x^{2} - 2 a x^{5} + 4 a c x^{4} - 2 a c^{2} x^{3} + 4 ab x^{4} - 8 ab c x^{3} + 4 ab c^{2} x^{2} - 2 a b^{2} x^{3} + 4 a b^{2} c x^{2} - 2 a b^{2} c^{2} x + a^{2} x^{4} - 2 a^{2} c x^{3} + a^{2} c^{2} x^{2} - 2 a^{2} b x^{3} + 4 a^{2} b c x^{2} - 2 a^{2} b c^{2} x + a^{2} b^{2} x^{2} - 2 a^{2} b^{2} c x + a^{2} b^{2} c^{2}

= \frac{q}{x ^{6} - 2 c x ^{5} + c ^{2} x ^{4} - 2 b x ^{5} + 4 b c x ^{4} - 2 b c ^{2} x ^{3} + b ^{2} x ^{4} - 2 b ^{2} c x ^{3} + b ^{2} c ^{2} x ^{2} - 2 a x ^{5} + 4 a c x ^{4} - 2 a c ^{2} x ^{3} + 4 ab x ^{4} - 8 ab c x ^{3} + 4 ab c ^{2} x ^{2} - 2 a b ^{2} x ^{3} + 4 a b ^{2} c x ^{2} - 2 a b ^{2} c ^{2} x + a ^{2} x ^{4} - 2 a ^{2} c x ^{3} + a ^{2} c ^{2} x ^{2} - 2 a ^{2} b x ^{3} + 4 a ^{2} b c x ^{2} - 2 a ^{2} b c ^{2} x + a ^{2} b ^{2} x ^{2} - 2 a ^{2} b ^{2} c x + a ^{2} b ^{2} c ^{2}}

\frac{x}{( x + 4 ) ( x - 7 )}

\frac{3 ( 5 + 5 )}{4}

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

\frac{( cos ( x ) + sin ( x ) ) ^{2}}{cos ^{2} ( x )}

\frac{9 - r ^{3} - r ^{2}}{( 3 r ^{2} - 5 r + 2 ) ^{2}}

What is expand q/((x-a)^2(x-b)^2(x-c)^2) ?
The solution to expand q/((x-a)^2(x-b)^2(x-c)^2) is