Send it quick guys...

Answer: (7 + 4√3)² + (7 - 4√3)² = 194Step-by-step explanation:* Lets explain how to solve the problem∵ a² + b² = (7 + 4√3)² + (7 - 4√3)²- Lets solve each bracket alone then add the two answers# Remember (a + b)² = (a)² + 2(a)(b) + (b)²∵ (7 + 4√3)² = (7)² + 2(7)(4√3) + (4√3)²∵ 7² = 49∵ 2(7)(4√3) = 2 × 7 × 4 × √3 = 56√3∵ (4√3)² = (4)² × (√3)² = 16 × 3 = 48∴ (7 + 4√3)² = 49 + 56√3 + 48- 49 and 48 are like terms∴ (7 + 4√3)² = 97 + 56√3 ⇒ (1)# Remember (a - b)² = (a)² - 2(a)(b) + (b)²∵ (7 - 4√3)² = (7)² - 2(7)(4√3) + (4√3)²- All the numbers like the first bracket except the middle sign, then  all the answer will be the same except the middle sign will be (-)∴ (7 - 4√3)² = 49 - 56√3 + 48∴ (7 - 4√3)² = 97 - 56√3 ⇒ (2)- lets add answers (1) and (2)∴ (7 + 4√3)² + (7 - 4√3)² = 97 + 56√3 + 97 - 56√3 ∴ (7 + 4√3)² + (7 - 4√3)² = (97 + 97) + (56√3 - 56√3)∵ 97 + 97 = 194∵ 56√3 - 56√3 = 0∴ (7 + 4√3)² + (7 - 4√3)² = 194