Question

help......... solve question plelase (a+b+2c)^2-(a-b+c)^2

Answer 1

  (a+b+2c)² - (a-b+c)²

→ { a² + b² + (2c)² + 2ab + 2b(2c) + 2a(2c) } - { a² + b² + c² -2ab - 2bc + 2ac}

→  a² + b² + 4c² + 2ab + 4bc + 4ac - a² - b² - c² + 2ab + 2bc - 2ac

→  a² - a² + b² - b² + 4c² - c² + 2ab + 2ab + 4bc + 2bc + 4ac - 2ac

→  3c² + 4ab +6bc + 2ac

→  4ab + 6bc + 2ac + 3c²

→  2b( 2a + 3c ) + c( 2a + 3c)

→  ( 2a + 3c )( 2b + c )......Ans