Question

Simplifique as expressões.
a) (x+1)²+(x+2)²
b) (2x+1)²+(3x+1)²
c) 5x-(2x+3)²
d) (x+5)²-x(x+3)

Answer 1

a) (x+1)²+(x+2)² = x^2 + 2x + 1 + x^2 + 4x + 4 ==> 2x^2 + 6x + 5
  
b) (2x+1)²+(3x+1)² = 4x^2 + 4x + 1 + 9x^2 + 6x + 1 ==> 13x^2 + 10x + 2   

c) 5x-(2x+3)² = 5x - 4x^2 - 12x - 1 ==> -4x^2 - 7x - 1  

d) (x+5)²-x(x+3) = x^2 + 10x + 25 - x^2 - 3x ==> + 7x + 25