Question

Can someone please tell how to solve this question . I request please no spammers. And don't be greedy for 50 points . ​

Answer 1

$\huge\boxed{Answer}$

3(Sinx - Cosx)⁴ + 6(Sinx + Cosx)² + + 4(Sin⁶x + Cos⁶x)

=> 3{(Sinx - Cosx)²}² + 6(1 + Sin2x) +

4{(Sin²x)³ + (Cos²x)³}

=> 3(1 - Sin2x)² + 6(1 + Sin2x) + 4(Sin²x + + Cos²x) (Sin⁴x - Sin²x*Cos²x +

Cos⁴x)

=> 3(1 + Sin²2x - 2Sin2x) + 6(1 + Sin2x)

+ 4{(Sin²x + Cos²x)² - 3Sin²x * Cos²x}

=> 3 + 3Sin²2x - 6Sin2x + 6 +

+ 6Sin2x + 4 { 1 - 3Sin²x*Cos²x }

=> 3 + 3(4Sin²x*Cos²x) + 6 + 4 -

- 12Sin²x * Cos²x

=> 3 + 12Sin²x*Cos²x + 10 - 12Sin²x

=> 3 + 10

=> 13

Answer 2

Answer:

hope it helps you.........