Question

Factor as the product of two binomials 1-x^2

Answer 1

keeping in mind that

1² = 1
1³ = 1
1⁴ = 1
1¹⁰⁰⁰⁰⁰⁰⁰ = 1

then

1 - x² is really 1² - x², and using the difference of squares

(1 - x) (1 + x).