Simplify (3x-4)^2

Problem

(3*x−4)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=3*x and b=4 into the formula.

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

5. Simplify the resulting terms to get the final polynomial.

(3*x)2=9*x2

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

4=16

Final Answer

(3*x−4)2=9*x2−24*x+16

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