What is expand (3(x+4)(x+1))/((x+2)(x-2)) ?

The solution to expand (3(x+4)(x+1))/((x+2)(x-2)) is (3x^2+15x+12)/(x^2-4)

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expand (3(x+4)(x+1))/((x+2)(x-2))

expand

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

\frac{3 x ^{2} + 15 x + 12}{x ^{2} - 4}

Solution steps

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

Expand

(x + 2) (x - 2) : x^{2} - 4

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

Expand

3 (x + 4) (x + 1) : 3 x^{2} + 15 x + 12

= \frac{3 x ^{2} + 15 x + 12}{x ^{2} - 4}

(x 1 + x) (1 + 1 + x)

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

\frac{1}{( ( 2 n - 1 ) ( 2 n + 1 ) ( 2 n + 3 ) )}

- 48 e^{2 t} \cdot U (t - 4)

(7 cos (θ) - 5 sin (θ))^{2}

What is expand (3(x+4)(x+1))/((x+2)(x-2)) ?
The solution to expand (3(x+4)(x+1))/((x+2)(x-2)) is (3x^2+15x+12)/(x^2-4)