Question

Simplifique:
A) (a+b)² + (a-b)²
B) ( x-2) + x² - 2 (x-1)²
C) (m-1)² - (m+1) (m-1)

Answer 1

(a + b)² + (a - b)²
= a² + 2ab + b² + a² - 2ab + b²

= 2a² + 2b²

b) ( x - 2) + x² - 2(x - 1)²
x - 2 + x² - 2 (x² - 2x + 1)
x - 2 + x² - 2x² + 4x - 2
x + 4x - 2 - 2 + x² - 2x²

= - x² + 5x - 4

c) 
(m - 1)² - ( m + 1) . (m - 1)
m² - 2m + 1 - (m² - m + m - 1)
m² - 2m + 1 - (m² - 1)
m² - 2m + 1 - m² + 1

= - 2m + 2