Simplify (x^2-3)^2

Problem

(x2−3)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=a2−2*a*b+b2

3. Substitute a=x2 and b=3 into the formula.

4. Expand the terms to get (x2)2−2*(x2)*(3)+3

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

Final Answer

(x2−3)2=x4−6*x2+9

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