Question

Simplifique as frações algébricas
Obs:preciso pra agora,a questão um e dois

Answer 1

1.a)

$\frac{x^{4} y}{x^{6} } =x^{4-6} y=x^{-2} y=\frac{y}{x^{2} }$

b)

$\frac{2n^{10}p^{7}  }{10n^{7}p^{7}  } =\frac{n^{10-7} }{5} =\frac{n^{3} }{5}$

c)

$\frac{a^{2}b^{2}c  }{a^{4}b^{4}  } =\frac{c}{a^{2}b^{2}  }$

d)

$\frac{x^{4}y^{4}  }{7x^{3}y^{2}} =\frac{xy^{2}}{7}$

2.a)

$\frac{ac-c}{c^{2}-c}=\frac{c(a-1)}{c(c-1)}=\frac{a-1}{c-1}$

b)

$\frac{3x+3y}{3-3a}=\frac{3(x+y)}{3(1-a)}=\frac{x+y}{1-a}$

c)

$\frac{a^{2}-b^{2}}{a^{3}-a^{2}b}=\frac{a^{2}(1-b^{2})}{a^{2}(a-b)}=\frac{1-b^{2}}{a-b}$

d)

$\frac{m^{2}-25}{7m-35} =\frac{(m+5)(m-5)}{7(m-5)}=\frac{m+5}{7}$

e)

$\frac{x^{2}-8x+16}{x^{2}-16}=\frac{(x-4)^{2}}{(x+4)(x-4)}=\frac{x-4}{x+4}$

f)

$\frac{a^{3}+2a^{2}}{a^{2}+4a+4}=\frac{a^{2}(a+2)}{(a+2)^{2}}=\frac{a^{2}}{a+2}$