What is (x^2y^6-3)^2
To find the result of the expression (x^2y^6-3)^2, follow these steps:
Step 1: Simplify the expression inside the parentheses.
(x^2y^6-3)^2 = (x^2y^6)^2 - 2(3)(x^2y^6) + 3^2
Step 2: Evaluate each term separately using the exponent rules.
(x^2y^6)^2 = x^(2*2) * (y^6)^2 = x^4 * y^(6*2) = x^4 * y^12
2(3)(x^2y^6) = 6xy^6
3^2 = 9
Step 3: Combine the simplified terms to get the final result.
(x^2y^6-3)^2 = (x^4 * y^12) - (6xy^6) + 9
Therefore, the answer is (x^4 * y^12) - (6xy^6) + 9.