Simplify (4x-3)^2

Problem

(4*x−3)2

Solution

1. Identify the expression as a binomial squared 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=4*x and b=3 into the formula.

4. Expand the terms by calculating (4*x)2 2*(4*x)*(3) and 3

a2=(4*x)2=16*x2

2*a*b=2*(4*x)*(3)=24*x

b2=3=9

5. Combine the results to write the simplified expression.

Final Answer

(4*x−3)2=16*x2−24*x+9

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