What is expand (32(x^2))/((x-12)(x+4)^2) ?

The solution to expand (32(x^2))/((x-12)(x+4)^2) is (32x^2)/(x^3-4x^2-80x-192)

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expand (32(x^2))/((x-12)(x+4)^2)

expand

\frac{32 ( x ^{2} )}{( x - 12 ) ( x + 4 ) ^{2}}

\frac{32 x ^{2}}{x ^{3} - 4 x ^{2} - 80 x - 192}

Solution steps

\frac{32 ( x ^{2} )}{( x - 12 ) ( x + 4 ) ^{2}}

Remove parentheses:

(a) = a

= \frac{32 x ^{2}}{( x - 12 ) ( x + 4 ) ^{2}}

(x + 4)^{2} = x^{2} + 8 x + 16

= \frac{32 x ^{2}}{( x - 12 ) ( x ^{2} + 8 x + 16 )}

Expand

(x - 12) (x^{2} + 8 x + 16) : x^{3} - 4 x^{2} - 80 x - 192

= \frac{32 x ^{2}}{x ^{3} - 4 x ^{2} - 80 x - 192}

(2 n^{3} + 5 r e^{4}) (2 n^{3} + 5 r^{4})

(π (r + 3)^{2}) - (π \cdot r^{2})

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

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

6 (9 + 2)

What is expand (32(x^2))/((x-12)(x+4)^2) ?
The solution to expand (32(x^2))/((x-12)(x+4)^2) is (32x^2)/(x^3-4x^2-80x-192)