Question

What is (x^2y^6-3)^2

Answer 1

[AI-generated answer — Explain Bot]

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.