Question

simplique as frações algebrica
h) a²-25 / a+5=
i) m²+2m+1 / m+1=
j) x²+2x+y² / 3x+3y=
k) 9-a² / 9+3a=
l) x²-3x / 2x-6=
PFV AJUDA AI GENTE!
CALCULOS!​

Answer 1

h)

$\frac{ {a}^{2} - 25}{a + 5} = \frac{(a + 5)(a - 5)}{a + 5} = a - 5$

i)

$\frac{ {m}^{2} + 2m + 1 }{m + 1} = \frac{ {(m + 1)}^{2} }{m + 1} = m + 1$

j)

$\frac{ {x}^{2} + 2xy + {y}^{2} }{3x + 3y} = \frac{ {(x + y)}^{2} }{3(x + y)} = \frac{x + y}{3}$

k)

$\frac{ 9 - {a}^{2} }{9 + 3a} = \frac{(3 - a)(3 + a)}{3(3 + a)} = \frac{3 - a}{3}$

l)

$\frac{ {x}^{2} - 3x}{2x - 6} = \frac{x(x - 3)}{2(x - 3)} = \frac{x}{2}$

Answer 2

h) $\\ \frac{a^2-5^2}{a+5} =\frac{(a+5)(a-5)}{a+5} = a-5$

i) $\frac{m^2+2m+1^2}{m+1} =\frac{(m+1)^2}{m+1} =m+1$

j) $\frac{x^2+2xy+y^2}{3(x+y)} =\frac{(x+y)^2}{3(x+y)} =\frac{x+y}{3}$

k) $\frac{(3^2)-a^2}{(3^2)+3a} = \frac{(3-a)(3+a)}{3(3+a)} =\frac{3-a}{3}$

l) $\frac{x(x-3)}{2(x-3)} =\frac{x}{2}$

:)