Simplify 25-(z+5)^2

Problem

25−(z+5)2

Solution

1. Expand the squared binomial (z+5)2 using the identity (a+b)2=a2+2*a*b+b2

(z+5)2=z2+10*z+25

2. Substitute the expanded expression back into the original problem, keeping the subtraction sign outside the parentheses.

25−(z2+10*z+25)

3. Distribute the negative sign to every term inside the parentheses.

25−z2−10*z−25

4. Combine like terms by subtracting 25 from 25.

−z2−10*z

Final Answer

25−(z+5)2=−z2−10*z

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