Question

fatore as diferenças de dois quadrados

a)x^2 - 144
b)x^2 -36
c)9x^2 - 25
d) 16x^2 - 4y^2​

Answer 1

Oie, Td Bom?!

a)

$= x {}^{2} - 144$

$= x {}^{2} - 12 {}^{2}$

$= (x - 12) \: . \: (x + 12)$

b)

$= x {}^{2} - 36$

$= x {}^{2} - 6 {}^{2}$

$= (x - 6) \: . \: (x + 6)$

c)

$= 9x {}^{2} - 25$

$= 3 {}^{2} x {}^{2} - 5 {}^{2}$

$= (3x) {}^{2} - 5 {}^{2}$

$= (3x - 5) \: . \: (3x + 5)$

d)

$= 16x {}^{2} - 4y {}^{2}$

$= 4(4x {}^{2} - y {}^{2} )$

$= 4 \: . \: 2{}^{2} x {}^{2} - y {}^{2}$

$= 4 \: . \: (2x) {}^{2} - y {}^{2}$

$= 4(2x - y) \: . \: (2x + y)$

Att. Makaveli1996