What is expand ((4y^2+84)+(y^3-4y))/((y^2-4)(y+2)) ?

The solution to expand ((4y^2+84)+(y^3-4y))/((y^2-4)(y+2)) is (4y^2+84+y^3-4y)/(y^3+2y^2-4y-8)

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expand ((4y^2+84)+(y^3-4y))/((y^2-4)(y+2))

expand

\frac{( 4 y ^{2} + 84 ) + ( y ^{3} - 4 y )}{( y ^{2} - 4 ) ( y + 2 )}

\frac{4 y ^{2} + 84 + y ^{3} - 4 y}{y ^{3} + 2 y ^{2} - 4 y - 8}

Solution steps

\frac{( 4 y ^{2} + 84 ) + ( y ^{3} - 4 y )}{( y ^{2} - 4 ) ( y + 2 )}

Remove parentheses:

(a) = a

= \frac{4 y ^{2} + 84 + y ^{3} - 4 y}{( y ^{2} - 4 ) ( y + 2 )}

Expand

(y^{2} - 4) (y + 2) : y^{3} + 2 y^{2} - 4 y - 8

= \frac{4 y ^{2} + 84 + y ^{3} - 4 y}{y ^{3} + 2 y ^{2} - 4 y - 8}

(x - 23) (x + 23) (x^{2} + 25)

(s + 1)^{2}

\frac{( x ^{2} + 10 s + 21 )}{( 9 s ( s + 7 ) )}

(x 2 + y) (x 2 - y)

(1 - \frac{1}{e ^{\frac{1}{5}}})^{2}

What is expand ((4y^2+84)+(y^3-4y))/((y^2-4)(y+2)) ?
The solution to expand ((4y^2+84)+(y^3-4y))/((y^2-4)(y+2)) is (4y^2+84+y^3-4y)/(y^3+2y^2-4y-8)