Question

Resolva as fatorações

Answer 1

a)

$\frac{1}{4} {x}^{2} - 25 = ( \frac{1}{2}x - 5 )( \frac{1}{2}x + 5)$

b)

$\frac{4}{9} {a}^{2} - \frac{25}{49} = ( \frac{2}{3}a - \frac{5}{7} )( \frac{2}{3}a + \frac{5}{7} )$

c) não dá de fatorar

d)

$\frac{ {x}^{2} }{36} - \frac{ {a}^{2} }{25} = ( \frac{x}{6} - \frac{a}{5} )( \frac{x}{6} + \frac{a}{5} )$

e)

$\frac{1}{4} - \frac{ {a}^{2} }{49} = ( \frac{1}{2} - \frac{a}{7} )( \frac{1}{2} + \frac{a}{7} )$

f)

$\frac{ {m}^{2} }{ {m}^{12} }- 81 \\ = \frac{1}{ {m}^{10} } - 81 \\ = ( \frac{1}{ {m}^{5} } - 9)( \frac{1}{ {m}^{5} } + 9)$