Express as a product: 1-4sin^2\alpha

Question

Express as a product:

`1-4sin^2\alpha`

Answer 1

(1 - 2sinα)(1 + 2sinα)

Explanation:

1 - 4sin²α ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

1 - 4sin²α

= 1² - (2sinα )²

= (1 - 2sinα)(1 + 2sinα)