Simplify (2x-5)^2

Problem

(2*x−5)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=2*x and b=5 into the formula.

4. Expand the terms to get (2*x)2−2*(2*x)*(5)+5

5. Simplify each term individually.

6. Calculate the first term: (2*x)2=4*x2

7. Calculate the middle term: −2*(2*x)*(5)=−20*x

8. Calculate the last term: 5=25

9. Combine the simplified terms into the final polynomial.

Final Answer

(2*x−5)2=4*x2−20*x+25

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