Question

(√2+1)²-(3√2+5)²-5√2​

Answer 1

Answer:

-(40 + 33√2)

Step-by-step explanation:

(√2 + 1)² - (3√2 + 5)² - 5√2​

{Using identity (a + b)² = a² + b² + 2ab }

(√2)² + (1)² + 2(√2)(1) - [(3√2)² + (5)² + 2(3√2)(5)] - 5√2

2 + 1 + 2√2 - (3√2)² - (5)² - 2(3√2)(5) - 5√2

3 + 2√2 - 18 - 25 - 30√2 - 5√2

3 + 2√2 - 43 - 35√2

-40 - 33√2

-(40 + 33√2)