Problem

41. Simplify $\left(x^{2}+5 x+5\right)-\left(2 x^{2}+6\right)$.

Answer

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Answer

Final Answer: \(\boxed{-x^{2} + 5x - 1}\)

Steps

Step 1 :Given the expression \(\left(x^{2}+5 x+5\right)-\left(2 x^{2}+6\right)\).

Step 2 :We need to subtract the second polynomial from the first. This means subtracting each corresponding term in the second polynomial from the first.

Step 3 :After performing the subtraction, we get \(-x^{2} + 5x - 1\).

Step 4 :So, the simplified form of the given expression is \(-x^{2} + 5x - 1\).

Step 5 :Final Answer: \(\boxed{-x^{2} + 5x - 1}\)

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