What is expand (5x^2+32x+63)/((x+4)(x^2+6x+13)) ?

The solution to expand (5x^2+32x+63)/((x+4)(x^2+6x+13)) is (5x^2+32x+63)/(x^3+10x^2+37x+52)

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expand (5x^2+32x+63)/((x+4)(x^2+6x+13))

expand

\frac{5 x ^{2} + 32 x + 63}{( x + 4 ) ( x ^{2} + 6 x + 13 )}

\frac{5 x ^{2} + 32 x + 63}{x ^{3} + 10 x ^{2} + 37 x + 52}

Solution steps

\frac{5 x ^{2} + 32 x + 63}{( x + 4 ) ( x ^{2} + 6 x + 13 )}

Expand

(x + 4) (x^{2} + 6 x + 13) : x^{3} + 10 x^{2} + 37 x + 52

= \frac{5 x ^{2} + 32 x + 63}{x ^{3} + 10 x ^{2} + 37 x + 52}

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

\frac{( - 4 a - 3 ) ( a - 1 )}{( a + 3 ) ( 2 a - 29 )}

(1 - cos (θ))^{2} + sin^{2} (θ) d θ

\frac{2 x ^{3} - 5 x ^{2} + 4 x}{( x - 1 ) ^{2}}

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

What is expand (5x^2+32x+63)/((x+4)(x^2+6x+13)) ?
The solution to expand (5x^2+32x+63)/((x+4)(x^2+6x+13)) is (5x^2+32x+63)/(x^3+10x^2+37x+52)