Answer: (2x - y^5)^2 is 4x^2 - 4xy^5 + y^10.
Explanation:
To find the square of the expression (2x - y^5)^2, you need to expand it using the formula for squaring a binomial:
(a - b)^2 = a^2 - 2ab + b^2
In this case, a = 2x and b = y^5. So, we have:
(2x - y^5)^2 = (2x)^2 - 2(2x)(y^5) + (y^5)^2
Now, calculate each term:
(2x)^2 = 4x^2
2(2x)(y^5) = 4xy^5
(y^5)^2 = y^10
Now, combine the terms:
(2x - y^5)^2 = 4x^2 - 4xy^5 + y^10
So, the square of the expression (2x - y^5)^2 is 4x^2 - 4xy^5 + y^10.