Question

Simplifique as expressoes algébricas:
a) (x - y)² - x(X - 2y)
b) ( x - 2)² + a(3a + 2)
c) (m + 1) (m - 1) + (m+1)² - 2m

Answer 1

Olá,

a) (x - y)² - x(x - 2y)
x² - 2*x*y + y² - x² + 2xy
x² - 2xy + y² - x² + 2xy
x² - x² - 2xy + 2xy + y²
0 + 0 + y²
y²

b) (x - 2)² + a(3a + 2)
x² - 2*x*2 + 3a² + 2a
x² - 4x + 3a² + 2a
x(x - 4) + a(3a + 2)

c) (m + 1)(m - 1) + (m  +1)² - 2m
m*m - m*1 + 1*m - 1*1 + m² + 2*m*1 + 1² - 2m
m² - m + m - 1 + m² + 2m + 1 - 2m
m² + m² - m + m + 1 - 1 + 2m - 2m
2m² + 0 + 0 + 0
2m²

Bons estudos ;)