Question

simplifique as expressões:

a) $<var>(a-2)^{2}+b^{2}-2(a+1)^{2}</var>$

b) $<var>(m-1)^{2}-(m+1)*(m-1)</var>$

Answer 1

a) (a - 2)² + b² - 2 (a + 1)²
= a² - 4a + 4 + b² - 2 (a² + 2a + 1)
= a² - 4a + 4 + b² - 2a² - 4a - 2
= a² - 2a² - 4a - 4a + b² + 4 - 2
= -a² - 8a + b² + 2

b) (m - 1)² - (m + 1) * (m - 1)
 = (m - 1) * [(m -1) - (m + 1)]
= (m - 1) * [m -1 - m - 1]
= (m - 1) * [-2]
= -2 (m - 1)
= -2m + 2