What is expand (x^4)/((x^2-x+1)(x^2+7)^2) ?

The solution to expand (x^4)/((x^2-x+1)(x^2+7)^2) is (x^4)/(x^6-x^5+15x^4-14x^3+63x^2-49x+49)

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expand (x^4)/((x^2-x+1)(x^2+7)^2)

expand

\frac{x ^{4}}{( x ^{2} - x + 1 ) ( x ^{2} + 7 ) ^{2}}

\frac{x ^{4}}{x ^{6} - x ^{5} + 15 x ^{4} - 14 x ^{3} + 63 x ^{2} - 49 x + 49}

Solution steps

\frac{x ^{4}}{( x ^{2} - x + 1 ) ( x ^{2} + 7 ) ^{2}}

(x^{2} + 7)^{2} = x^{4} + 14 x^{2} + 49

= \frac{x ^{4}}{( x ^{2} - x + 1 ) ( x ^{4} + 14 x ^{2} + 49 )}

Expand

(x^{2} - x + 1) (x^{4} + 14 x^{2} + 49) : x^{6} - x^{5} + 15 x^{4} - 14 x^{3} + 63 x^{2} - 49 x + 49

= \frac{x ^{4}}{x ^{6} - x ^{5} + 15 x ^{4} - 14 x ^{3} + 63 x ^{2} - 49 x + 49}

2 x y d x + (x^{2} + 3 y^{2}) d y

(x - 1 - 2) (2 + x - 3)

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

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

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

What is expand (x^4)/((x^2-x+1)(x^2+7)^2) ?
The solution to expand (x^4)/((x^2-x+1)(x^2+7)^2) is (x^4)/(x^6-x^5+15x^4-14x^3+63x^2-49x+49)