Question

What is the value of `(sin^2A+sinA)^2+(sin^2A-sinA)^2`?

Answer 1

`(sin^2A+sinA)^2+(sin^2A-sinA)^2=2sin^4A+2sin^2A`

Explanation:

As `(a+b)^2+(a-b)^2=2a^2+2b^2`

Hence `(sin^2A+sinA)^2+(sin^2A-sinA)^2`

= `2(sin^2A)^2+2(sinA)^2`

= `2sin^4A+2sin^2A`