Question

Calcule: (x+2)²+(x+3)²+(x+4)²+(x+5)² =

Answer 1

(x+2)² + (x+3)² + (x+4)² + (x+5)² =                 (1º)² + 2 . 1º.2º + (2º)²
(x² + 2.x.2 + 2²) + (x² + 2.x.3 + 3³) + (x² + 2.x.4 +4²) + ( x² + 2.x.5 + 5²) =
x² + 4x + 4 + x² + 6x + 9 + x² + 8x + 16 + x² + 10x + 25 =
x² + x² + x² + x² + 4x + 6x + 8x + 10x + 4 + 9 + 16 + 25 =
4x² + 28x + 54