Question

plz answer fast I'll mark you as branliest​

Answer 1

Step-by-step explanation:

p6 = Cos^6 x + Sin^6 x

2p6 - 3p4 + 1

2(Cos^6 x + Sin^6 x) - 3(Cos⁴x + Sin⁴x) + 1

2{(Cos²x)³ + (Sin²x)³} - 3{Cos⁴x + Sin⁴x} + 1

= 2{(Cos²x + Sin²x) { Cos⁴x + Cos²x * Sin²x +

Sin⁴x } - 3(Cos⁴x + Sin⁴x) + 1

= 2{ Cos⁴x + Sin⁴x + Sin²x * Cos²x } -

3(Cos⁴x + Sin⁴x) + 1

= 2Cos⁴x + 2Sin⁴x + 2Sin²x*Cos²x - 3Cos⁴x

- 3Sin⁴x + 1

= -Cos⁴x - Sin⁴x + 2Sin²x*Cos²x + 1

= - { (Cos²x - Sin²x)²} + 1

= - { Cos²2x } + 1

= 1 - Cos²2x

= Sin²2x ( 4Sin²x * Cos²x)