The factored expression of x^4 - 8x^2 + 16 is (x - 2)^2(x + 2)^2
How to factor the polynomial?
We have:
x^4 - 8x^2 + 16
Express -8x^2 as -4x^2 - 4x^2
x^4 --4x^2 - 4x^2 + 16
Factorize the expression
x^2(x^2 - 4) - 4(x^2 - 4)
Factor out x^2 - 4
(x^2 - 4)(x^2 - 4)
Express x^2 - 4 as difference of two squares
(x - 2)(x + 2)(x - 2)(x + 2)
Factorize the expression
(x - 2)^2(x + 2)^2
Hence, the factored expression of x^4 - 8x^2 + 16 is (x - 2)^2(x + 2)^2
Read more about polynomials at:
https://brainly.com/question/4142886
#SPJ1
