Simplify (x^2-3)^2

Problem

(x^2−3)^2

Solution

1. Identify the expression as a square of a binomial in the form (a−b)^2

2. Apply the formula for the square of a binomial, which is (a−b)^2=a^2−2*a*b+b^2

3. Substitute a=x^2 and b=3 into the formula.

4. Expand the terms to get (x^2)^2−2*(x^2)*(3)+3^2

5. Simplify each term by applying exponent rules and performing multiplication.

Final Answer

(x^2−3)^2=x^4−6*x^2+9

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