Question

Simplifique as expressões.
a) [(X + Y)² – (X² + Y²)]²

b) (X +Y)² – (X – Y)²

c) (2x – 1)² – (X – 3)² + 5 (2 – X²)² – (3 – X)²

Answer 1

$a)[x^2+2x+y^2 -x^2-y^2]^2=[2xy]^2=\boxed{4x^2y^2}\\\\b)x^2+2xy+y^2-(x^2-2xy+y^2)=x^2+2xy+y^2-x^2+2xy-y^2\\=\boxed{4xy}\\\\c)[4x^2-4x+1]-[x^2-6x+9]+5[4-4x^2+x^4]-[9-6x+x^2]\\=\\\boxed{5x^4-18x^2+8x+2}$