Question

hey ajutati.a va rog la acest ex
   descompuneti in factori completand mai intai patratul unui biom
a) 4x la puterea a 4 +1
b)25y la puterea a 4+4
c)9x la puterea a 4 +16y la puterea a 4
     Multumesc anticipat!

Answer 1

a) $4x^4+1+2*1*2x^2=4x^4+4x^2+1=(2x^2+1)^2=(2x^2+1)(2x^2+1)$

b)$25y^4+4+2*2*5y^2=25y^4+20y^2+4=(5y^2+2)^2=$$=(5y^2+2)(5y^2+2)$

c) $9x^4+16y^4+2*3x^2*4y^2=9x^4+24x^2y^2+16y^4=(3x^2+4y^2)^2=$
$=(3x^2+4y^2)(3x^2+4y^2)$