Factor the expression completely 16-40x^4
To factor the expression 16 - 40x^4 completely, we can first factor out a common factor of 4:
16 - 40x^4 = 4(4 - 10x^4)
Next, we can recognize that the expression 4 - 10x^4 is a difference of squares. It can be factored as follows:
4 - 10x^4 = (2 - √10x^2)(2 + √10x^2)
So, the expression 16 - 40x^4 can be factored completely as:
16 - 40x^4 = 4(2 - √10x^2)(2 + √10x^2)