Question

How to factor that polynomial

Answer 1

(1 + 5y)(1 - 5y) is the fully factored form of this polynomial.

This polynomial can be factored using difference of squares.

This polynomial is in the form of a^2 - b^2 = (a + b)(a - b)

Because 1 * 1 = 1, we can use this formula to simplify this polynomial.

1 - 25y^2 = (1 + 5y)(1 - 5y)

We can use FOIL to verify this.

(1 + 5y)(1 - 5y)

1 - 5y + 5y - 25y^2

1 - 25y^2