evaluate : (2a + 3b + 4c) power 2 + (2a – 3b + 4c) power 2 + (2a + 3b – 4c) power 2​

1 thought on “evaluate : (2a + 3b + 4c) power 2 + (2a – 3b + 4c) power 2 + (2a + 3b – 4c) power 2​”

1. Answer:

   =12a^2 + 9b^2 + 16c^2

   Step-by-step explanation:

   ((2a)^2 + (3b)^2 + (4c)^2 )) + ((2a)^2 – (3b)^2 +(4c)^2 ))

   + ((2a)^2 + (3b)^2 – (4c)^2 ))

   = 4a^2 + 9b^2 + 16c^2

   +

   4a^2 – 9b^2 + 16c^2

   +

   4a^2 + 9b^2 – 16c^2

   like terms:

   =4a^2 + 4a^2 + 4a^2 + 9b^2 – 9b^2 + 9b^2 + 16c^2 + 16c^2 – 16c^2

   =12a^2 + 9b^2 + 16c^2

   Reply