Question

fatorando a expressão x⁴-y⁴+2x³y⁴-2xy³, obtém-se:
a) (x+y)².(x-y)²=
b) (x+y)²=
c) (x+y).(x-3)³=
d) (x+y)³.(x-y)=

Answer 1

a) (x+)² x (x-y)²
((x+y)x(x-y))²
(x² - y ² )²
 x⁴ -2x² y ²+y⁴

b)(x+y)²
   x²+2x y+y²

c)(x+y)x(x-3)³
   (x+y)x(x³-9x² +27x-27)
    x⁴-9x³+27x²-27x+X³ y -9x²y+27xy-27y

d)(x+y)³x(x-y)
   (x³+3x²y+3xy²+y³)x(x-y)
    x⁴-x³y+3x³y-3x²y²+3x²y²-3xy³+xy³-y⁴
    x⁴+2x³ y-2xy³ -y⁴