Question

e) 4a2 - 36 =
f) m2 - 16n2 =
g) 36a2 - 4 =
h) 81 - x2 =
fotore as expressões ​

Answer 1

e.

$= 4a {}^{2} - 36 \\ = 4(a {}^{2} - 9) \\ = 4 \: . \: a {}^{2} - 3 {}^{2} \\ \boxed{ = 4(a - 3) \: . \: (a + 3)}$

f.

$= m {}^{2} - 16n {}^{2} \\ = m {}^{2} - 4 {}^{2} n {}^{2} \\ = m {}^{2} - (4n) {}^{2} \\ \boxed{ = (m - 4n) \: . \: (m + 4n)}$

g.

$= 36a {}^{2} - 4 \\ = 4(9a {}^{2} - 1) \\ = 4 \: . \: 3 {}^{2} a {}^{2} - 1 {}^{2} \\ = 4 \: . \: (3a) {}^{2} - 1 {}^{2} \\ \boxed{ = 4(3a - 1) \: . \: (3a + 1)}$

h.

$= 81 - x {}^{2} \\ = 9 {}^{2} - x {}^{2} \\ \boxed{ = (9 - x) \: . \: (9 + x)}$

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