Question

Y^4-2y^2+1...........

Answer 1

(y²-1)²

Explanation:

Given:

y⁴ - 2y² + 1

Find:

Factor of given equation

Computation:

y⁴ - 2y² + 1

Change given equation in quadratic equation.

(y²)² - 2(y)²(1) + (-1)²

We know that

(a)² - 2(a)(b) + (b)²

(a-b)²

So,

(y²)² - 2(y)²(1) + (-1)²

(y²-1)²