Question

Fatore os polinômios a seguir
a) x^2 - 100
b) a^2 b^2 - 4
c) 9x^2 - 16 y ^2
d) 4x^2 -1
e) m^2 - 16n^2
f) 4x^2 - 25y^2
g)x^2/ -1
h)9x^2 y^4/25 - 81/64​

Answer 1

a) x^2 - 100 = (x+10).(x-10)

b) a^2 b^2 - 4 = (ab+2).(ab-2)

c) 9x^2 - 16 y ^2= (3x+4y).(3x-4y)

d) 4x^2 -1 = (2x+1).(2x-1)

e) m^2 - 16n^2 = (m+4n).(m-4n)

f) 4x^2 - 25y^2 = (2x+5y).(2x-5y)

g)x^2/ -1 ? = (x+1).(x-1)

h)9x^2 y^4/25 - 81/64 =

(3xy²/5 + 9/8). (3xy²/5 - 9/8)