Question

simplifique as seguintes frações 

a=9x²+24xy+16y²/9x²-16y²

b=25a²+30ab+9b²/25²-9b²

c=9x²-3x/6x-2

Answer 1

a)
$\dfrac{9x^2 + 24xy+16y^2}{9x^2-16y^2} \\ \\ \\ \dfrac{(3x + 4y)(3x + 4y)}{(3x - 4y)(3x + 4y)} \\ \\ \\ => \dfrac{3x + 4y}{3x - 4y}$

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b)
$\dfrac{25a^2+30ab+9b^2}{25a^2-9b^2} \\ \\ \\ \dfrac{(5a + 3b)(5a + 3b)}{(5a - 3b)(5a + 3b)} \\ \\ \\ => \dfrac{5a + 3b}{5a - 3b}$

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c)

$\dfrac{9x^2 - 3x}{6x - 2} \\ \\ \\ \dfrac{3x(3x - 1)}{2(3x - 1)} \\ \\ \\ => \dfrac{3x}{2}$